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1

Wu, Zhi Xiang. "Generalized Smash Products". Acta Mathematica Sinica, English Series 20, n.º 1 (janeiro de 2004): 125–34. http://dx.doi.org/10.1007/s10114-003-0293-z.

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2

Chin, William. "Spectra of smash products". Israel Journal of Mathematics 72, n.º 1-2 (fevereiro de 1990): 84–98. http://dx.doi.org/10.1007/bf02764612.

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3

Fang, Xiao-Li, e Blas Torrecillas. "Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups". Communications in Algebra 42, n.º 10 (14 de maio de 2014): 4204–34. http://dx.doi.org/10.1080/00927872.2013.806520.

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4

Wang, Wei, Nan Zhou e Shuanhong Wang. "Semidirect products of weak multiplier Hopf algebras: Smash products and smash coproducts". Communications in Algebra 46, n.º 8 (18 de janeiro de 2018): 3241–61. http://dx.doi.org/10.1080/00927872.2017.1407421.

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5

LYDAKIS, MANOS. "Smash products and Γ-spaces". Mathematical Proceedings of the Cambridge Philosophical Society 126, n.º 2 (março de 1999): 311–28. http://dx.doi.org/10.1017/s0305004198003260.

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In this paper we construct a symmetric monoidal smash product of Γ-spaces modelling the smash product of connective spectra. For the corresponding theory of ring-spectra, we refer the reader to [Sch].
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6

Guo, Shuangjian, Xiaohui Zhang, Yuanyuan Ke e Yizheng Li. "Enveloping actions and duality theorems for partial twisted smash products". Filomat 34, n.º 10 (2020): 3217–27. http://dx.doi.org/10.2298/fil2010217g.

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In this paper, we first generalize the theorem about the existence of an enveloping action to a partial twisted smash product. Then we construct a Morita context between the partial twisted smash product and the twisted smash product related to the enveloping action. Finally, we present versions of the duality theorems of Blattner-Montgomery for partial twisted smash products.
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7

Chuang, Chen-Lian, e Yuan-Tsung Tsai. "Smash products and differential identities". Transactions of the American Mathematical Society 364, n.º 8 (1 de agosto de 2012): 4155–68. http://dx.doi.org/10.1090/s0002-9947-2012-05454-7.

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8

Ribeiro Alvares, Edson, Marcelo Muniz Alves e María Julia Redondo. "Cohomology of partial smash products". Journal of Algebra 482 (julho de 2017): 204–23. http://dx.doi.org/10.1016/j.jalgebra.2017.03.020.

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9

Bergen, Jeffrey, e S. Montgomery. "Smash products and outer derivations". Israel Journal of Mathematics 53, n.º 3 (dezembro de 1986): 321–45. http://dx.doi.org/10.1007/bf02786565.

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10

Siciliano, Salvatore, e Hamid Usefi. "Lie structure of smash products". Israel Journal of Mathematics 217, n.º 1 (março de 2017): 93–110. http://dx.doi.org/10.1007/s11856-017-1439-5.

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11

Liu, Wei, Xiaoli Fang e Blas Torrecillas. "Twisted BiHom-smash products and L-R BiHom-smash products for monoidal BiHom-Hopf algebras". Colloquium Mathematicum 159, n.º 2 (2020): 171–93. http://dx.doi.org/10.4064/cm7695-12-2018.

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12

Osterburg, James. "Smash Products and G-Galois Actions". Proceedings of the American Mathematical Society 98, n.º 2 (outubro de 1986): 217. http://dx.doi.org/10.2307/2045687.

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13

Alonso Alvarez, J. N., J. M. Fernández Vilaboa e R. González Rodríguez. "Smash (co)Products and skew pairings". Publicacions Matemàtiques 45 (1 de julho de 2001): 467–75. http://dx.doi.org/10.5565/publmat_45201_09.

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14

Bergen, Jeffrey, e Piotr Grzeszczuk. "SMASH PRODUCTS SATISFYING A POLYNOMIAL IDENTITY". Communications in Algebra 33, n.º 1 (26 de janeiro de 2005): 221–33. http://dx.doi.org/10.1081/agb-200040986.

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15

Wang, Caihong, e Shenglin Zhu. "Smash Products ofH-Simple Module Algebras". Communications in Algebra 41, n.º 5 (20 de maio de 2013): 1836–45. http://dx.doi.org/10.1080/00927872.2011.651761.

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16

Brzeziński, Tomasz, e Zhengming Jiao. "R-smash products of Hopf quasigroups". Arabian Journal of Mathematics 1, n.º 1 (24 de março de 2012): 39–46. http://dx.doi.org/10.1007/s40065-012-0020-7.

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17

Yokogawa, Kenji. "Hopf-Galois extensions and smash products". Journal of Algebra 107, n.º 1 (abril de 1987): 138–52. http://dx.doi.org/10.1016/0021-8693(87)90080-9.

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18

Lück, Wolfgang, Holger Reich e Marco Varisco. "Commuting Homotopy Limits and Smash Products". K-Theory 30, n.º 2 (outubro de 2003): 137–65. http://dx.doi.org/10.1023/b:kthe.0000018387.87156.c4.

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19

Qingzhong, Ji, e Qin Hourong. "On Smash Products Of Hopf Algebras". Communications in Algebra 34, n.º 9 (setembro de 2006): 3203–22. http://dx.doi.org/10.1080/00927870600778365.

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20

Osterburg, James. "Smash products and $G$-Galois actions". Proceedings of the American Mathematical Society 98, n.º 2 (1 de fevereiro de 1986): 217. http://dx.doi.org/10.1090/s0002-9939-1986-0854022-x.

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21

Baues, Hans-Joachim, e Fernando Muro. "Smash Products for Secondary Homotopy Groups". Applied Categorical Structures 16, n.º 5 (2 de outubro de 2007): 551–616. http://dx.doi.org/10.1007/s10485-007-9071-x.

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22

Guo, Shuangjian. "On generalized partial twisted smash products". Czechoslovak Mathematical Journal 64, n.º 3 (setembro de 2014): 767–82. http://dx.doi.org/10.1007/s10587-014-0131-8.

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23

Cai, C. R., e H. X. Chen. "Coactions, Smash Products, and Hopf Modules". Journal of Algebra 167, n.º 1 (julho de 1994): 85–99. http://dx.doi.org/10.1006/jabr.1994.1176.

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24

Lü, Jiafeng, Panpan Wang e Ling Liu. "On BiHom-L-R Smash Products". Algebra Colloquium 30, n.º 02 (junho de 2023): 245–62. http://dx.doi.org/10.1142/s1005386723000202.

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Let [Formula: see text] be a BiHom-Hopf algebra and [Formula: see text] be an [Formula: see text]-BiHom-bimodule algebra, where the maps [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] are bijective. We first prove the Maschke-type theorem for the BiHom-L-R smash product over a finite-dimensional semisimple BiHom-Hopf algebra. Next we give a Morita context between the BiHom-subalgebra [Formula: see text] and the BiHom-L-R smash product [Formula: see text].
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25

Farinati, Marco. "Hochschild duality, localization, and smash products". Journal of Algebra 284, n.º 1 (fevereiro de 2005): 415–34. http://dx.doi.org/10.1016/j.jalgebra.2004.09.009.

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26

WANG, DINGGUO, e YUANYUAN KE. "THE CALABI–YAU PROPERTY OF TWISTED SMASH PRODUCTS". Journal of Algebra and Its Applications 13, n.º 03 (31 de outubro de 2013): 1350118. http://dx.doi.org/10.1142/s0219498813501181.

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Let H be a finite-dimensional cocommutative semisimple Hopf algebra and A * H a twisted smash product. The Calabi–Yau (CY) property of twisted smash product is discussed. It is shown that if A is a CY algebra of dimension dA, a necessary and sufficient condition for A * H to be a CY Hopf algebra is given.
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27

Delvaux, Lydia. "SEMI-DIRECT PRODUCTS OF MULTIPLIER HOPF ALGEBRAS: SMASH PRODUCTS". Communications in Algebra 30, n.º 12 (31 de dezembro de 2002): 5961–77. http://dx.doi.org/10.1081/agb-120016026.

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28

Zhang, Liangyun, Huixiang Chen e Jinqi Li. "TWISTED PRODUCTS AND SMASH PRODUCTS OVER WEAK HOPF ALGEBRAS". Acta Mathematica Scientia 24, n.º 2 (abril de 2004): 247–58. http://dx.doi.org/10.1016/s0252-9602(17)30381-8.

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29

Zhang, Liangyun, e Ruifang Niu. "MASCHKE-TYPE THEOREM FOR PARTIAL SMASH PRODUCTS". International Electronic Journal of Algebra 19, n.º 19 (1 de junho de 2016): 49. http://dx.doi.org/10.24330/ieja.266192.

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30

Ulbrich, K. H. "Smash products and comodules of linear maps". Tsukuba Journal of Mathematics 14, n.º 2 (dezembro de 1990): 371–78. http://dx.doi.org/10.21099/tkbjm/1496161459.

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31

Cohen, Miriam. "Smash products, inner actions and quotient rings". Pacific Journal of Mathematics 125, n.º 1 (1 de novembro de 1986): 45–66. http://dx.doi.org/10.2140/pjm.1986.125.45.

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32

GUO, SHUANGJIAN, SHENGXIANG WANG e LONG WANG. "Partial representation of partial twisted smash products". Publicationes Mathematicae Debrecen 89, n.º 1-2 (1 de julho de 2016): 23–41. http://dx.doi.org/10.5486/pmd.2016.7277.

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33

LINCHENKO, V., S. MONTGOMERY e L. W. SMALL. "STABLE JACOBSON RADICALS AND SEMIPRIME SMASH PRODUCTS". Bulletin of the London Mathematical Society 37, n.º 06 (dezembro de 2005): 860–72. http://dx.doi.org/10.1112/s0024609305004662.

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34

Selick, Paul, e Jie Wu. "On functorial decompositions of self-smash products". manuscripta mathematica 111, n.º 4 (1 de agosto de 2003): 435–57. http://dx.doi.org/10.1007/s00229-002-0353-1.

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35

Liangyun, Zhang. "L-R smash products for bimodule algebras*". Progress in Natural Science 16, n.º 6 (1 de junho de 2006): 580–87. http://dx.doi.org/10.1080/10020070612330038.

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36

Childs, L. N. "Azumaya algebras which are not smash products". Rocky Mountain Journal of Mathematics 20, n.º 1 (março de 1990): 75–89. http://dx.doi.org/10.1216/rmjm/1181073160.

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37

Bulacu, Daniel, Florin Panaite e Freddy Van Oystaeyen. "Quasi-hopf algebra actions and smash products". Communications in Algebra 28, n.º 2 (janeiro de 2000): 631–51. http://dx.doi.org/10.1080/00927870008826849.

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38

Yu, Xiaolan, e Yinhuo Zhang. "The Calabi–Yau property of smash products". Journal of Algebra 358 (maio de 2012): 189–214. http://dx.doi.org/10.1016/j.jalgebra.2012.03.002.

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39

Zhu, Bin. "Smash products of quasi-hereditary graded algebras". Archiv der Mathematik 72, n.º 6 (junho de 1999): 433–37. http://dx.doi.org/10.1007/s000130050352.

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40

Zheng, Lijing, Chonghui Huang e Qianhong Wan. "On the representation dimension of smash products". Advances in Applied Clifford Algebras 27, n.º 3 (19 de abril de 2017): 2885–97. http://dx.doi.org/10.1007/s00006-017-0783-1.

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41

Wang, Caihong, e Shenglin Zhu. "On smash products of transitive module algebras". Chinese Annals of Mathematics, Series B 31, n.º 4 (21 de junho de 2010): 541–54. http://dx.doi.org/10.1007/s11401-010-0586-3.

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42

Fang, Xiao-Li, e Tae-Hwa Kim. "(𝜃,ω)-Twisted Radford’s Hom-biproduct and ϖ-Yetter–Drinfeld modules for Hom-Hopf algebras". Journal of Algebra and Its Applications 19, n.º 03 (março de 2020): 2050046. http://dx.doi.org/10.1142/s0219498820500462.

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To unify different definitions of smash Hom-products in a Hom-bialgebra [Formula: see text], we firstly introduce the notion of [Formula: see text]-twisted smash Hom-product [Formula: see text]. Secondly, we find necessary and sufficient conditions for the twisted smash Hom-product [Formula: see text] and the twisted smash Hom-coproduct [Formula: see text] to afford a Hom-bialgebra, which generalize the well-known Radford’s biproduct and the Hom-biproduct obtained in [H. Li and T. Ma, A construction of the Hom-Yetter–Drinfeld category, Colloq. Math. 137 (2014) 43–65]. Furthermore, we introduce the notion of the category of [Formula: see text]-Yetter-Drinfeld modules which unifies the ones of Hom-Yetter Drinfeld category appeared in [H. Li and T. Ma, A construction of the Hom-Yetter–Drinfeld category, Colloq. Math. 137 (2014) 43–65] and [A. Makhlouf and F. Panaite, Twisting operators, twisted tensor products and smash products for Hom-associative algebras, J. Math. Glasgow 513–538 (2016) 58]. Finally, we prove that the [Formula: see text]-twisted Radford’s Hom-biproduct [Formula: see text] is a Hom-bialgebra if and only if [Formula: see text] is a Hom-bialgebra in the category of [Formula: see text]-Yetter–Drinfeld modules [Formula: see text], generalizing the well-known Majid’s conclusion.
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43

Panaite, Florin. "Iterated crossed products". Journal of Algebra and Its Applications 13, n.º 07 (2 de maio de 2014): 1450036. http://dx.doi.org/10.1142/s0219498814500364.

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We define a "mirror version" of Brzeziński's crossed product and we prove that, under certain circumstances, a Brzeziński crossed product D ⊗R,σ V and a mirror version [Formula: see text] may be iterated, obtaining an algebra structure on W ⊗ D ⊗ V. Particular cases of this construction are the iterated twisted tensor product of algebras and the quasi-Hopf two-sided smash product.
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44

Shen, Bingliang, e Ling Liu. "The Maschke-Type Theorem and Morita Context for BiHom-Smash Products". Advances in Mathematical Physics 2021 (13 de janeiro de 2021): 1–10. http://dx.doi.org/10.1155/2021/6677332.

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Let H , α H , β H , ω H , ψ H , S H be a BiHom-Hopf algebra and A , α A , β A be an H , α H , β H -module BiHom-algebra. Then, in this paper, we study some properties on the BiHom-smash product A # H . We construct the Maschke-type theorem for the BiHom-smash product A # H and form an associated Morita context A H , A H A A # H , A # H A A H , A # H .
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45

Mu, Qiang. "Smash product construction of modular lattice vertex algebras". Electronic Research Archive 30, n.º 1 (2021): 204–20. http://dx.doi.org/10.3934/era.2022011.

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<abstract><p>Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.</p></abstract>
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46

Albuquerque, Helena, e Florin Panaite. "On Quasi-Hopf Smash Products and Twisted Tensor Products of Quasialgebras". Algebras and Representation Theory 12, n.º 2-5 (5 de março de 2009): 199–234. http://dx.doi.org/10.1007/s10468-009-9143-8.

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47

Jensen, Anders, e Soren Jondrup. "Smash products, group actions and group graded rings." MATHEMATICA SCANDINAVICA 68 (1 de dezembro de 1991): 161. http://dx.doi.org/10.7146/math.scand.a-12353.

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48

Pirkovskii, A. Yu. "Arens-Michael enveloping algebras and analytic smash products". Proceedings of the American Mathematical Society 134, n.º 9 (17 de fevereiro de 2006): 2621–31. http://dx.doi.org/10.1090/s0002-9939-06-08251-7.

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49

Bergen, Jeffrey. "A note on smash products over frobenius algebras". Communications in Algebra 21, n.º 11 (janeiro de 1993): 4021–24. http://dx.doi.org/10.1080/00927879308824780.

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50

Pan, Qun-xing. "On L-R Smash Products of Hopf Algebras". Communications in Algebra 40, n.º 10 (outubro de 2012): 3955–73. http://dx.doi.org/10.1080/00927872.2011.576735.

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