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Author: Grafiati

Published: 10 December 2022

Last updated: 29 January 2023

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1

Guo, Junying, and Xiaojiang Guo. "Generalized Munn rings." Open Mathematics 20, no. 1 (January 1, 2022): 1066–81. http://dx.doi.org/10.1515/math-2022-0487.

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Abstract Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively). Sufficient and necessary conditions are obtained for a generalized Munn ring with a regular sandwich matrix to be primitive (semiprimitive, semiprime and prime, respectively). Also, we obtain sufficient and necessary conditions for a Munn ring over principal ideal domains to be prime (semiprime, respectively). Our results can be regarded as the generalizations of the famous result in the theory of rings that for a ring R R , R R is primitive (semiprimitive and semiprime, respectively) if and only if so is M n ( R ) {M}_{n}\left(R) . As applications of our results, we consider the primeness and the primitivity of generalized matrix rings and generalized path algebras. In particular, it is proved that a path algebra is a semiprime if and only if it is semiprimitive.

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2

Gal, Susan. "Nancy D. Munn." Journal of Anthropological Research 77, no. 1 (March 1, 2021): 6–9. http://dx.doi.org/10.1086/712283.

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3

Howie, J. M. "Walter Douglas Munn." SemiGroup Forum 59, no. 1 (July 1999): 1–8. http://dx.doi.org/10.1007/pl00005998.

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4

Reilly, Norman R. "Walter Douglas Munn." Semigroup Forum 78, no. 1 (January 27, 2009): 1–6. http://dx.doi.org/10.1007/s00233-009-9135-3.

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5

Faulkner, Dorothy, Cathy Nutbrown, and Christine Stephen. "Dr Penny Munn." International Journal of Early Years Education 19, no. 2 (June 2011): 109–10. http://dx.doi.org/10.1080/09669760.2011.630832.

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6

Oliveira, Roberta Pires de, Josa Coelho da Silva, and Mariana Rublescki Silveira Bressane. "O singular nu denota espécie: uma investigação empírica." DELTA: Documentação de Estudos em Lingüística Teórica e Aplicada 26, no. 1 (2010): 115–39. http://dx.doi.org/10.1590/s0102-44502010000100005.

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Apresentam-se neste estudo os resultados de investigação em banco de dados de língua falada e escrita e de um experimento psicolinguístico sobre a gramaticalidade de sentenças genéricas com singular nu no português brasileiro. Não há, na literatura, consenso sobre a gramaticalidade dessas sentenças (Munn & Schmitt (1999, 2005) vs. Müller (2000, 2002, 2003). Consequentemente, há autores que entendem que o singular nu denota espécie (Munn & Schmitt); outros que o veem como um indefinido (Müller). Nossa investigação comprova, com dados de língua escrita e falada, a gramaticalidade dessas sentenças; resultado referendado pelo teste psicolinguístico. Assim, certos dialetos conformam-se à abordagem de Munn & Schmitt.

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7

SOROUSHMEHR, MAEDEH. "ULTRAPOWERS OF ℓ1-MUNN ALGEBRAS AND THEIR APPLICATION TO SEMIGROUP ALGEBRAS." Bulletin of the Australian Mathematical Society 86, no. 3 (January 25, 2012): 424–29. http://dx.doi.org/10.1017/s0004972711003339.

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AbstractIn this work, we study and investigate the ultrapowers of ℓ1-Munn algebras. Then we show that the class of ℓ1-Munn algebras is stable under ultrapowers. Finally, applying this result to semigroup algebras, we show that for a semigroup S, ultra-amenability of ℓ1(S) and amenability of the second dual ℓ1(S)′′ are equivalent.

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8

Ellis, Sue, Lio Moscardini, and Pamela Qualter. "Obituary: Dr Penny Munn." Psychology of Education Review 35, no. 2 (2011): 3–4. http://dx.doi.org/10.53841/bpsper.2011.35.2.3.

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9

Taylor, Peter Allan. "Obituary of R. E. Munn." Boundary-Layer Meteorology 151, no. 1 (December 11, 2013): 1–2. http://dx.doi.org/10.1007/s10546-013-9892-0.

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10

LI, ZHUO, ZHENHENG LI, and YOU'AN CAO. "REPRESENTATIONS OF THE RENNER MONOID." International Journal of Algebra and Computation 19, no. 04 (June 2009): 511–25. http://dx.doi.org/10.1142/s0218196709005147.

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We describe irreducible representations and character formulas of the Renner monoids for reductive monoids, which generalize the Munn–Solomon representation theory of rook monoids to any Renner monoids. The type map and polytope associated with reductive monoids play a crucial role in our work. It turns out that the irreducible representations of certain parabolic subgroups of the Weyl groups determine the complete set of irreducible representations of the Renner monoids. An analogue of the Munn–Solomon formula for calculating the character of the Renner monoids, in terms of the characters of the parabolic subgroups, is shown.

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11

Zarei, G., A. Pourabbas, M. Rostami, and A. Sahami. "Approximate Biprojectivity of ℓ 1 -Munn Banach Algebras." Journal of Mathematics 2022 (November 14, 2022): 1–9. http://dx.doi.org/10.1155/2022/2112167.

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In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ 1 -Munn Banach algebras when the related sandwich matrix is regular over Inv A . In fact, we show that a ℓ 1 -Munn Banach algebra with the regular sandwich matrix over Inv A is approximately biprojective (weak approximately biprojective) if and only if A is approximately biprojective (weak approximately biprojective), respectively. We also study approximate biprojectivity of upper triangular Banach algebra when the associated sandwich matrix with elements in Inv A is invertible. Finally, we apply our results to Rees semigroup algebras.

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12

Jones, David J. "From Munn-Pitt to Library Act." Australian Library Journal 44, no. 2 (January 1995): 55–66. http://dx.doi.org/10.1080/00049670.1995.10755705.

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13

Jones, David J. "From Munn-Pitt to Library Act." Australian Library Journal 44, no. 3 (January 1995): 134–51. http://dx.doi.org/10.1080/00049670.1995.10755715.

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14

Jones, David J. "From Munn-Pitt to Library Act." Australian Library Journal 44, no. 4 (January 1995): 225–36. http://dx.doi.org/10.1080/00049670.1995.10755726.

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15

Howland, Jacob. "Colloquium 4 Glaucon’s Fate: Plato’s Republic and the Drama of the Soul." Proceedings of the Boston Area Colloquium of Ancient Philosophy 29, no. 1 (May 19, 2014): 113–36. http://dx.doi.org/10.1163/22134417-00291p11.

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I argue that the internal evidence of the Republic supports a conjecture first advanced by the historian Mark Munn: Glaucon was an accomplice of the so-called Thirty Tyrants who most likely died at the side of his relatives Critias and Charmides in the Battle of Munychia. If Munn is right, the Republic must be read as a poignant philosophical drama, the tragedy of Socrates’ unsuccessful struggle to save Plato’s brother from the corrupting influence of his family and his city. This perspective raises important questions about the nature and limits of Socrates’ philosophical pedagogy, which must in turn be seen within the context of the dialogue’s symbolic and mythical representation of the cosmic moral drama of the soul.

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16

Kelarev, A. V., J. L. Yearwood, P. Watters, X. Wu, J. H. Abawajy, and L. Pan. "Internet security applications of the Munn rings." Semigroup Forum 81, no. 1 (June 19, 2010): 162–71. http://dx.doi.org/10.1007/s00233-010-9242-1.

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17

Whitlam, Gough. "The Munn-Pitt Report—50 Years on." Australian Library Journal 35, no. 1 (January 1986): 40–45. http://dx.doi.org/10.1080/00049670.1986.10755539.

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18

Bruening, Benjamin, and Eman M. Al Khalaf. "Linear effects in ATB movement." Proceedings of the Linguistic Society of America 1 (June 12, 2016): 10. http://dx.doi.org/10.3765/plsa.v1i0.3707.

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Munn (2001), Citko (2005), and others argue that in ATB movement initial and non-initial gaps exhibit asymmetries in reconstruction effects and weak crossover: only the initial ATB gap shows reconstruction and weak crossover. Munn argues that these asymmetries are due to the nature of the gap: the initial ATB gap is a real gap, while non-initial gaps are parasitic gaps. Parasitic gaps are generally claimed to show no reconstruction or weak crossover (e.g., Nissenbaum 2000). We re-examine reconstruction in ATB movement and parasitic gap constructions and show that in most cases the putative asymmetries between gaps are not real, and when there is an asymmetry it is due to linear order and not to the nature of the gap. We conclude that both ATB movement and parasitic gap constructions involve full copies in all gaps.

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19

Alves, Daniella Santos. "“Dentro da Malhadinha": Uma análise das doações de produtos alimentares na comunidade remanescente quilombola - TO." CRÍTICA E SOCIEDADE 8, no. 2 (July 8, 2020): 111–28. http://dx.doi.org/10.14393/rcs-v8n2-2018-48985.

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O presente artigo é fruto de um pré campo realizado na comunidade remanescente quilombola Malhadinha situada no município de Brejinho de Nazaré no estado do Tocantins – TO. A comunidade fica a 100km de distância de Palmas – capital –, 25km da cidade de Porto Nacional e 35km de Brejinho de Nazaré. Através das discussões de Nancy Munn no seu clássico livro “The Fame of Gawa” proponho um exercício comparativo a partir das categorias e conceitos construídos pela antropóloga em seu trabalho de campo em Gawa – região de Massim na Papua Nova Guiné com os dados colhidos na Malhadinha. Considerando que a autora tem como objetivo construir um modelo mais geral das práticas simbólicas na antropologia, logo é razoavel supor que esses mesmos conceitos possam iluminar outros contextos etnográficos. Assim, pretendo realizar uma reflexão com as categorias doações, reconhecimento e valores retiradas dos dados etnográficos da Malhadinha relacionando com as categorias de Munn; atos e práticas, transformação de valores e construção de espaços-tempo intersubjetivos.

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20

Guo, Xiaojiang, and K. P. Shum. "PRIME IRREDUCIBLE MATRIX REPRESENTATIONS OF A LEFT AMPLE SEMIGROUP." Asian-European Journal of Mathematics 05, no. 03 (September 2012): 1250034. http://dx.doi.org/10.1142/s1793557112500349.

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In this paper, we prove that any prime irreducible representation of a left ample semigroup being eventually regular can be constructed by some irreducible representation of some groups. This result enriches and extends the related results of W. D. Munn on prime irreducible representations of an inverse semigroup.

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21

Kelarev, Andrei V., Willy Susilo, Mirka Miller, and Joe Ryan. "Ideals of Largest Weight in Constructions Based on Directed Graphs." Bulletin of Mathematical Sciences and Applications 15 (May 2016): 8–16. http://dx.doi.org/10.18052/www.scipress.com/bmsa.15.8.

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We introduce a new construction based on directed graphs. It provides a common generalization of the incidence rings and Munn semirings. Our main theorem describes all ideals of the largest possible weight in this construction. Several previous results can be obtained as corollaries to our new main theorem.

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22

Wagner, Robin. "What Munn Missed: The Queensland Schools of Arts." Queensland Review 20, no. 2 (October 30, 2013): 187–202. http://dx.doi.org/10.1017/qre.2013.20.

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American Librarian Ralph Munn's historic tour of Australian libraries in 1934 is well documented. Along with Ernest Pitt, Chief Librarian of the State Library of Victoria, he spent nearly ten weeks travelling from Sydney and back again, visiting libraries in all the state capitals and many regional towns throughout the country. Munn's trip was funded by the Carnegie Corporation of New York, which was then, through its Dominions fund, turning attention to philanthropic opportunities in the Antipodes. The resulting report, Australian Libraries: A Survey of Conditions and Suggestions for their Improvement (commonly referred to as the Munn–Pitt Report) is often credited with initiating the public library movement in Australia.

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23

Lu, Yonglong, Theo Beckers, and Susan Greenwood Etienne. "A tribute to R.E. (Ted) Munn 1919-2013." Environmental Development 8 (October 2013): 3–4. http://dx.doi.org/10.1016/j.envdev.2013.09.005.

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24

Fountain, John. "The work of Douglas Munn and its legacy." Semigroup Forum 81, no. 1 (June 29, 2010): 2–25. http://dx.doi.org/10.1007/s00233-010-9240-3.

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25

MORLEY, DOROTHY I., FRED W. BILLMEYER, and RUTH MUNN RICH. "Errors in the Morley, Munn and Billmeyer Paper." Journal of the Society of Dyers and Colourists 93, no. 12 (October 22, 2008): 459–60. http://dx.doi.org/10.1111/j.1478-4408.1977.tb03320.x.

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26

Fang, Li. "The regularity of munn rings and semigroup rings." Acta Mathematica Sinica 11, no. 1 (March 1995): 53–61. http://dx.doi.org/10.1007/bf02274047.

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27

Esslamzadeh, G. H., and T. Esslamzadeh. "Contractability of l 1 -Munn algebras with applications." Semigroup Forum 63, no. 1 (March 20, 2001): 1–10. http://dx.doi.org/10.1007/s002330010013.

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28

Munn, W. D. "Involutions on finite-dimensional algebras over real closed fields." Journal of the Australian Mathematical Society 77, no. 1 (August 2004): 123–28. http://dx.doi.org/10.1017/s1446788700010193.

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AbstractIt is shown that the following conditions on a finite-dimensional algebra A over a real closed field or an algebraically closed field of characteristic zero are equivalent: (i) A admits a special involution, in the sense of Easdown and Munn, (ii) A admits a proper involution, (iii) A is semisimple.

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29

Seidler, Tomasz, Marlena Gryl, Benoît Champagne, and Katarzyna Stadnicka. "Modeling of the optical properties of molecular crystals." Acta Crystallographica Section A Foundations and Advances 70, a1 (August 5, 2014): C384. http://dx.doi.org/10.1107/s2053273314096156.

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In this contribution we present our current findings in the calculations of the linear and second-order nonlinear electric susceptibility tensor components of organic crystals. The methodology used for this purpose is based on a combination of the electrostatic interaction scheme developed by Hurst and Munn (Hurst & Munn, 1986) with electronic structure calculations for the isolated molecules. Our modification of the method consists in i) running periodic boundary condition (PBC) calculations for an adequate chromophore geometry (either experimental or optimized) to obtain atomic charges and in ii) performing the calculations of the molecular properties within a non-uniform embedding field generated by point charges located spherically around the reference molecule. Using this approach good accuracy is achieved on the electric susceptibility tensor components in comparison with the uniform dipole electric field (Seidler et al., 2013). We extend here the application of this method to other molecular crystals as well as we present the first attempt to predict the chi(1) and chi(2) components of two-component organic crystals (Gryl et al., 2014).

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30

SOROUSHMEHR, MAEDEH. "HOMOMORPHISMS OF -MUNN ALGEBRAS AND APPLICATIONS TO SEMIGROUP ALGEBRAS." Bulletin of the Australian Mathematical Society 92, no. 1 (April 2, 2015): 115–22. http://dx.doi.org/10.1017/s0004972715000210.

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In this paper, for an arbitrary$\ell ^{1}$-Munn algebra$\mathfrak{A}$over a Banach algebra$A$with a sandwich matrix$P$, we characterise all homomorphisms from$\mathfrak{A}$to a commutative Banach algebra$B$. Especially, we study the character space of this algebra. Then, as an application, its character amenability is investigated. Finally, we apply these results to certain semigroups, which are called Rees matrix semigroups.

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31

Munn, W. D. "Congruence-free regular semigroups." Proceedings of the Edinburgh Mathematical Society 28, no. 1 (February 1985): 113–19. http://dx.doi.org/10.1017/s0013091500003254.

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A semigroup is said to be congruence-free if and only if its only congruences are the universal relation and the identical relation. Congruence-free inverse semigroups were studied by Baird [2], Trotter [19], Munn [15,16] and Reilly [18]. In addition, results on congruence-free regular semigroups have been obtained by Trotter [20], Hall [4] and Howie [7].

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32

SOMERVILLE, ROSA. "SOUTHWOLD. AN EARTHLY PARADISE BY GEOFFREY C MUNN FSA." Art Book 14, no. 2 (May 2007): 42–43. http://dx.doi.org/10.1111/j.1467-8357.2007.00805.x.

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33

Derech, V. D. "Structure of a permutable Munn semigroup of finite rank." Ukrainian Mathematical Journal 58, no. 6 (June 2006): 836–41. http://dx.doi.org/10.1007/s11253-006-0107-4.

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34

Taylor, Peter, Morley Thomas, Ed Truhlar, and Doug Whelpdale. "R. E. (Ted) Munn ? Founding editor; a mini-biography." Boundary-Layer Meteorology 78, no. 1-2 (February 1996): 3–8. http://dx.doi.org/10.1007/bf00122484.

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35

Brauch, Hans G�nter. "Ted Munn (ed): Encyclopedia of global environmental change (Egec)." Naturwissenschaften 90, no. 6 (June 1, 2003): 282–88. http://dx.doi.org/10.1007/s00114-003-0421-8.

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36

Bonzini, C., and A. Cherubini. "Modularity of the lattice of congruences of a regular ω-semigroup." Proceedings of the Edinburgh Mathematical Society 33, no. 3 (October 1990): 405–17. http://dx.doi.org/10.1017/s0013091500004831.

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In this paper a characterization of the regular ω-semigroups whose congruence lattice is modular is given. The characterization obtained for such semigroups generalizes the one given by Munn for bisimple ω-semigroups and completes a result of Baird dealing with the modularity of the sublattice of the congruence lattice of a simple regular ω-semigroup consisting of congruences which are either idempotent separating or group congruences.

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37

Silva, Pedro V. "On the semilattice of idempotents of a free inverse monoid." Proceedings of the Edinburgh Mathematical Society 36, no. 2 (June 1993): 349–60. http://dx.doi.org/10.1017/s0013091500018447.

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Some new concepts are introduced, in particular that of a unique factorization semilattice. Necessary and sufficient conditions are given for two principal ideals of the semilattice of idempotents of a free inverse monoid FIM(X) to be isomorphic and some properties of the Munn semigroup of E[FIM(X)] are obtained. Some results on the embedding of semilattices in E[FIM(X)] are also obtained.

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38

Tsai, Jung-Fang. "Anglo-China: Chinese People and British Rule in Hong Kong, 1841–1880. By Christopher Munn. [Richmond, Surrey: Curzon Press, 2001. xv+460 pp. £55.00. ISBN 0-7007-1298-4.]." China Quarterly 172 (December 2002): 1065–103. http://dx.doi.org/10.1017/s0009443902430628.

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Christopher Munn has written a scholarly book of 460 pages, with detailed endnotes that will be of considerable value to researchers in Hong Kong studies. The long endnotes and bibliography reveal the author as a man of great drive, energy, tenacity and intellectual commitment. Extraordinarily well-researched, the book contains great wealth of information on Hong Kong during the first four decades of British rule from the 1840s to the 1870s.

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39

Miyaura, Kuniaki, Yuji Shinada, and W. H. Gabelman. "Selection for Resistance of Onions to Botrytis allii by Scale Inoculation Method." HortScience 20, no. 4 (August 1985): 769–70. http://dx.doi.org/10.21273/hortsci.20.4.769.

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Abstract Botrytis neck rot, caused by Botrytis allii Munn, is one of the most serious diseases of onion (Allium cepa L.) cultivars during storage. Uniform maturity of Fj hybrids has provided tolerance to natural infection in the United States. Cultivar differences in resistance to this disease have been detected by artificial inoculation in Europe. However, gain from selection for resistance by systematic artificial inoculation has not been reported (1, 2, 4, 5).

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40

Guo, Xiaojiang. "A Note on Locally Inverse Semigroup Algebras." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–5. http://dx.doi.org/10.1155/2008/576061.

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LetRbe a commutative ring andSa finite locally inverse semigroup. It is proved that the semigroup algebraR[S]is isomorphic to the direct product of Munn algebrasℳ(R[GJ],mJ,nJ;PJ)withJ∈S/𝒥, wheremJis the number ofℛ-classes inJ,nJthe number ofℒ-classes inJ, andGJa maximum subgroup ofJ. As applications, we obtain the sufficient and necessary conditions for the semigroup algebra of a finite locally inverse semigroup to be semisimple.

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41

Fountain, John. "Erratum to: The work of Douglas Munn and its legacy." Semigroup Forum 82, no. 1 (November 23, 2010): 197. http://dx.doi.org/10.1007/s00233-010-9277-3.

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42

Zhao, Yang, David W. Brown, and Katja Lindenberg. "On the Munn–Silbey approach to nonlocal exciton–phonon coupling." Journal of Chemical Physics 100, no. 3 (February 1994): 2335–45. http://dx.doi.org/10.1063/1.466480.

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43

Crabb, M. J., C. M. McGregor, W. D. Munn, and S. Wassermann. "On the algebra of a free monoid." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 5 (1996): 939–45. http://dx.doi.org/10.1017/s0308210500023179.

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Let denote a subring of the complex field that contains 1 and is closed under complex conjugation. It is shown that, with respect to the involution induced by word-reversal, the algebra over of a free monoid admits a trace and a separating family of star matrix representations. From the existence of a trace it is deduced that the aforementioned involution is special, in the sense of Easdown and Munn. Similar results hold for the algebra over of a free monoid with involution.

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44

Aoun, Joseph, Elabbas Benmamoun, and Dominique Sportiche. "Further Remarks on First Conjunct Agreement." Linguistic Inquiry 30, no. 4 (October 1999): 669–81. http://dx.doi.org/10.1162/002438999554255.

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Aoun, Benmamoun, and Sportiche (ABS, 1994) propose an analysis of first conjunct agreement in VS sentences in Lebanese Arabic and Moroccan Arabic. On the basis of the distribution of number-sensitive items, they argue that this type of agreement is due to clausal coordination. Munn (1999) argues against ABS's account and proposes that first conjunct agreement in the Arabic dialects arises because coordination of NP subjects is semantically plural but syntactically singular. In this reply we show that Munn's alternative analysis is empirically inadequate.

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45

Fountain, John, Gracinda M. S. Gomes, and Victoria Gould. "A Munn Type Representation for a Class of E-Semiadequate Semigroups." Journal of Algebra 218, no. 2 (August 1999): 693–714. http://dx.doi.org/10.1006/jabr.1999.7871.

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46

Pradella, Luiz Gustavo Souza. "JEGUATÁ: O CAMINHAR ENTRE OS GUARANI." Espaço Ameríndio 3, no. 2 (December 31, 2009): 99. http://dx.doi.org/10.22456/1982-6524.8059.

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O presente artigo tem como objeto etnológico de análise o ‘caminhar’ (jeguatá) entre os grupos Guarani no Leste do Rio Grande do Sul. A partir da bibliografia, em diálogo com a etnografia busca-se compreender de que forma os Guarani definem e interagem com o espaço. Quais são seus elementos de referência sócio-espaciais e em que termos tal mobilidade dialoga com os elementos de sua sócio-cosmologia. Neste intento busca-se a aplicação das teorias apresentadas em Horizonte imaginativo (CRAPANZANO, 2004), Grupos étnicos e suas fronteiras (BARTH, 2000) e Espaços de exclusão (MUNN, 2006).

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47

Easdown, David. "Biorder-preserving coextensions of fundamental semigroups." Proceedings of the Edinburgh Mathematical Society 31, no. 3 (October 1988): 463–67. http://dx.doi.org/10.1017/s0013091500037652.

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In any extension theory for semigroups one must determine the basic building blocks and then discover how they fit together to create more complicated semigroups. For example, in group theory the basic building blocks are simple groups. In semigroup theory however there are several natural choices. One that has received considerable attention, particularly since the seminal work on inverse semigroups by Munn ([14, 15]), is the notion of a fundamental semigroup. A semigroup is called fundamental if it cannot be [shrunk] homomorphically without collapsing some of its idempotents (see below for a precise definition).

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48

KAMBITES, MARK. "FREE ADEQUATE SEMIGROUPS." Journal of the Australian Mathematical Society 91, no. 3 (December 2011): 365–90. http://dx.doi.org/10.1017/s1446788711001753.

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AbstractWe give an explicit description of the free objects in the quasivariety of adequate semigroups, as sets of labelled directed trees under a natural combinatorial multiplication. The morphisms of the free adequate semigroup onto the free ample semigroup and into the free inverse semigroup are realised by a combinatorial ‘folding’ operation which transforms our trees into Munn trees. We use these results to show that free adequate semigroups and monoids are 𝒥-trivial and never finitely generated as semigroups, and that those which are finitely generated as (2,1,1)-algebras have decidable word problem.

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Huang, Kaiqing, Yizhi Chen, and Aiping Gan. "Structure of split additively orthodox semirings." AIMS Mathematics 7, no. 6 (2022): 11345–61. http://dx.doi.org/10.3934/math.2022633.

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<abstract><p>The ideas of transversals are important to study algebraic structures which are useful for investigating semirings structure. In this paper, we introduce and explore split additively orthodox semirings which are special semirings with transversals. After obtaining some property theorems of split additively orthodox semirings, the structure theorem for them is obtained by using idempotent semirings, additively inverse semirings, and Munn semigroup. It not only extends and strengthens the corresponding results of Clifford semirings and split orthodox semigroups but also develops a new way to study semirings.</p></abstract>

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Larson, Bradley. "Arabic Conjunct-Sensitive Agreement and Primitive Operations." Linguistic Inquiry 44, no. 4 (October 2013): 611–31. http://dx.doi.org/10.1162/ling_a_00140.

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In some Arabic dialects, preverbal coordinated subjects cause plural agreement on the verb while postverbal ones cause either plural agreement or singular agreement. This paradigm has been addressed by Aoun, Benmamoun, and Sportiche ( 1994 , 1999 ) and Munn (1999) , with varying degrees of success. This article offers an alternative to the previous analyses that utilizes the concept of decomposed Merge ( Hornstein 2009 ), whereby Merge is reanalyzed as two suboperations. Previously unexplained cases that flout the paradigm are explained here by a decomposition of the Extension Condition ( Chomsky 1995 ) and a derivational account of pronoun binding across coordination.

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