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Artículos de revistas sobre el tema "Binomial ideals"

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Autor: Grafiati
Publicado: 11 de marzo de 2023

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1

Eisenbud, David y Bernd Sturmfels. "Binomial ideals". Duke Mathematical Journal 84, n.º 1 (julio de 1996): 1–45. http://dx.doi.org/10.1215/s0012-7094-96-08401-x.

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2

MartÍnez de Castilla, Ignacio Ojeda y Ramón Peidra Sánchez. "Cellular Binomial Ideals. Primary Decomposition of Binomial Ideals". Journal of Symbolic Computation 30, n.º 4 (octubre de 2000): 383–400. http://dx.doi.org/10.1006/jsco.1999.0413.

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3

Kahle, Thomas, Ezra Miller y Christopher O’Neill. "Irreducible decomposition of binomial ideals". Compositio Mathematica 152, n.º 6 (1 de abril de 2016): 1319–32. http://dx.doi.org/10.1112/s0010437x16007272.

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Building on coprincipal mesoprimary decomposition [Kahle and Miller, Decompositions of commutative monoid congruences and binomial ideals, Algebra and Number Theory 8 (2014), 1297–1364], we combinatorially construct an irreducible decomposition of any given binomial ideal. In a parallel manner, for congruences in commutative monoids we construct decompositions that are direct combinatorial analogues of binomial irreducible decompositions, and for binomial ideals we construct decompositions into ideals that are as irreducible as possible while remaining binomial. We provide an example of a binomial ideal that is not an intersection of irreducible binomial ideals, thus answering a question of Eisenbud and Sturmfels [Binomial ideals, Duke Math. J. 84 (1996), 1–45].
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4

Gao, Xiao-Shan, Zhang Huang y Chun-Ming Yuan. "Binomial difference ideals". Journal of Symbolic Computation 80 (mayo de 2017): 665–706. http://dx.doi.org/10.1016/j.jsc.2016.07.029.

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5

Ojeda, Ignacio. "Binomial Canonical Decompositions of Binomial Ideals". Communications in Algebra 39, n.º 10 (octubre de 2011): 3722–35. http://dx.doi.org/10.1080/00927872.2010.511923.

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6

Kahle, Thomas. "Decompositions of binomial ideals". Journal of Software for Algebra and Geometry 4, n.º 1 (2012): 1–5. http://dx.doi.org/10.2140/jsag.2012.4.1.

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7

Becker, Eberhard, Rudolf Grobe y Michael Niermann. "Radicals of binomial ideals". Journal of Pure and Applied Algebra 117-118 (mayo de 1997): 41–79. http://dx.doi.org/10.1016/s0022-4049(97)00004-2.

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8

Kahle, Thomas. "Decompositions of binomial ideals". Annals of the Institute of Statistical Mathematics 62, n.º 4 (26 de marzo de 2010): 727–45. http://dx.doi.org/10.1007/s10463-010-0290-9.

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9

Rauh, Johannes. "Generalized binomial edge ideals". Advances in Applied Mathematics 50, n.º 3 (marzo de 2013): 409–14. http://dx.doi.org/10.1016/j.aam.2012.08.009.

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10

Ene, Viviana, Giancarlo Rinaldo y Naoki Terai. "Licci binomial edge ideals". Journal of Combinatorial Theory, Series A 175 (octubre de 2020): 105278. http://dx.doi.org/10.1016/j.jcta.2020.105278.

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11

Kahle, Thomas, Camilo Sarmiento y Tobias Windisch. "Parity binomial edge ideals". Journal of Algebraic Combinatorics 44, n.º 1 (21 de diciembre de 2015): 99–117. http://dx.doi.org/10.1007/s10801-015-0657-3.

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12

Chaudhry, Faryal, Ahmet Dokuyucu y Rida Irfan. "On the binomial edge ideals of block graphs". Analele Universitatii "Ovidius" Constanta - Seria Matematica 24, n.º 2 (1 de junio de 2016): 149–58. http://dx.doi.org/10.1515/auom-2016-0033.

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Abstract We find a class of block graphs whose binomial edge ideals have minimal regularity. As a consequence, we characterize the trees whose binomial edge ideals have minimal regularity. Also, we show that the binomial edge ideal of a block graph has the same depth as its initial ideal.
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13

Ene, Viviana, Jürgen Herzog y Takayuki Hibi. "Cohen-Macaulay binomial edge ideals". Nagoya Mathematical Journal 204 (diciembre de 2011): 57–68. http://dx.doi.org/10.1215/00277630-1431831.

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14

Ene, Viviana, Jürgen Herzog y Takayuki Hibi. "Cohen-Macaulay binomial edge ideals". Nagoya Mathematical Journal 204 (diciembre de 2011): 57–68. http://dx.doi.org/10.1017/s0027763000010394.

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15

OHSUGI, HIDEFUMI y TAKAYUKI HIBI. "INDISPENSABLE BINOMIALS OF FINITE GRAPHS". Journal of Algebra and Its Applications 04, n.º 04 (agosto de 2005): 421–34. http://dx.doi.org/10.1142/s0219498805001265.

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A binomial f belonging to a toric ideal I is indispensable if, for any system [Formula: see text] of binomial generators of I, either f or -f belongs to [Formula: see text]. In the present paper, we study indispensable binomials of the toric ideals IG arising from a finite graph G. First, we show that the toric ideal IG arising from a finite graph G whose complementary graph is weakly chordal is generated by the indispensable binomials if and only if no complete graph of order ≥4 is a subgraph of G. Second, we completely classify indispensable binomials of the toric ideal IG arising from a finite graph G satisfying the odd cycle condition. Finally, the existence of indispensable binomials of IG will be discussed.
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16

Gross, Elizabeth y Nicole Yamzon. "Binomial ideals of domino tilings". Discrete Mathematics 344, n.º 11 (noviembre de 2021): 112530. http://dx.doi.org/10.1016/j.disc.2021.112530.

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17

Damadi, Hamid y Farhad Rahmati. "Smoothness in Binomial Edge Ideals". Mathematics 4, n.º 2 (1 de junio de 2016): 37. http://dx.doi.org/10.3390/math4020037.

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18

Eser, Zekiye Sahin y Laura Felicia Matusevich. "Decompositions of cellular binomial ideals". Journal of the London Mathematical Society 94, n.º 2 (julio de 2016): 409–26. http://dx.doi.org/10.1112/jlms/jdw012.

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19

de Alba, Hernán y Marcel Morales. "Betti numbers of binomial ideals". Journal of Symbolic Computation 80 (mayo de 2017): 387–402. http://dx.doi.org/10.1016/j.jsc.2016.06.001.

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20

Katsabekis, Anargyros. "Arithmetical rank of binomial ideals". Archiv der Mathematik 109, n.º 4 (3 de agosto de 2017): 323–34. http://dx.doi.org/10.1007/s00013-017-1071-y.

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21

Fischer, Klaus G. y Jay Shapiro. "Mixed matrices and binomial ideals". Journal of Pure and Applied Algebra 113, n.º 1 (noviembre de 1996): 39–54. http://dx.doi.org/10.1016/0022-4049(95)00144-1.

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22

LÓPEZ, HIRAM H. y RAFAEL H. VILLARREAL. "COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS". International Journal of Algebra and Computation 23, n.º 06 (septiembre de 2013): 1419–29. http://dx.doi.org/10.1142/s0218196713500288.

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For the family of graded lattice ideals of dimension 1, we establish a complete intersection criterion in algebraic and geometric terms. In positive characteristic, it is shown that all ideals of this family are binomial set-theoretic complete intersections. In characteristic zero, we show that an arbitrary lattice ideal which is a binomial set-theoretic complete intersection is a complete intersection.
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23

Matsuda, Kazunori y Satoshi Murai. "Regularity bounds for binomial edge ideals". Journal of Commutative Algebra 5, n.º 1 (marzo de 2013): 141–49. http://dx.doi.org/10.1216/jca-2013-5-1-141.

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24

Sahin Eser, Zekiye y Laura Felicia Matusevich. "Corrigendum: Decompositions of cellular binomial ideals". Journal of the London Mathematical Society 100, n.º 2 (octubre de 2019): 717–19. http://dx.doi.org/10.1112/jlms.12232.

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25

de Castilla, I. Ojeda Martínez y R. Piedra Sánchez. "Index of nilpotency of binomial ideals". ACM SIGSAM Bulletin 33, n.º 3 (septiembre de 1999): 18. http://dx.doi.org/10.1145/347127.360386.

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26

Mohammadi, Fatemeh y Leila Sharifan. "Hilbert Function of Binomial Edge Ideals". Communications in Algebra 42, n.º 2 (18 de octubre de 2013): 688–703. http://dx.doi.org/10.1080/00927872.2012.721037.

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27

Kumar, Arvind y Rajib Sarkar. "Hilbert series of binomial edge ideals". Communications in Algebra 47, n.º 9 (26 de marzo de 2019): 3830–41. http://dx.doi.org/10.1080/00927872.2019.1570241.

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28

Ojeda, Ignacio y Ramón Piedra. "Index of nilpotency of binomial ideals". Journal of Algebra 255, n.º 1 (septiembre de 2002): 135–47. http://dx.doi.org/10.1016/s0021-8693(02)00147-3.

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29

Saeedi Madani, Sara y Dariush Kiani. "Binomial edge ideals of regularity 3". Journal of Algebra 515 (diciembre de 2018): 157–72. http://dx.doi.org/10.1016/j.jalgebra.2018.08.027.

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30

Eto, Kazufumi. "Binomial arithmetical rank of lattice ideals". manuscripta mathematica 109, n.º 4 (1 de diciembre de 2002): 455–63. http://dx.doi.org/10.1007/s00229-002-0317-5.

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31

Kiani, Dariush y Sara Saeedi Madani. "Binomial edge ideals with pure resolutions". Collectanea Mathematica 65, n.º 3 (12 de marzo de 2014): 331–40. http://dx.doi.org/10.1007/s13348-014-0107-x.

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32

Banerjee, Arindam y Luis Núñez-Betancourt. "Graph connectivity and binomial edge ideals". Proceedings of the American Mathematical Society 145, n.º 2 (18 de agosto de 2016): 487–99. http://dx.doi.org/10.1090/proc/13241.

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33

Bolognini, Davide, Antonio Macchia y Francesco Strazzanti. "Binomial edge ideals of bipartite graphs". European Journal of Combinatorics 70 (mayo de 2018): 1–25. http://dx.doi.org/10.1016/j.ejc.2017.11.004.

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34

Shibuta, Takafumi y Shunsuke Takagi. "Log canonical thresholds of binomial ideals". manuscripta mathematica 130, n.º 1 (5 de mayo de 2009): 45–61. http://dx.doi.org/10.1007/s00229-009-0270-7.

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35

Mascia, Carla y Giancarlo Rinaldo. "Extremal Betti Numbers of Some Cohen–Macaulay Binomial Edge Ideals". Algebra Colloquium 28, n.º 03 (26 de julio de 2021): 415–30. http://dx.doi.org/10.1142/s1005386721000328.

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We provide the regularity and the Cohen–Macaulay type of binomial edge ideals of Cohen–Macaulay cones, and we show the extremal Betti numbers of some classes of Cohen–Macaulay binomial edge ideals: Cohen–Macaulay bipartite and fan graphs. In addition, we compute the Hilbert–Poincaré series of the binomial edge ideals of some Cohen–Macaulay bipartite graphs.
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36

Àlvarez Montaner, Josep. "Local cohomology of binomial edge ideals and their generic initial ideals". Collectanea Mathematica 71, n.º 2 (29 de septiembre de 2019): 331–48. http://dx.doi.org/10.1007/s13348-019-00268-z.

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37

Kumar, Arvind. "Lovász–Saks–Schrijver ideals and parity binomial edge ideals of graphs". European Journal of Combinatorics 93 (marzo de 2021): 103274. http://dx.doi.org/10.1016/j.ejc.2020.103274.

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38

Bresinsky, H., F. Curtis y J. Stückrad. "$\rho$-homogeneous binomial ideals and Patil bases". Rocky Mountain Journal of Mathematics 42, n.º 3 (junio de 2012): 823–45. http://dx.doi.org/10.1216/rmj-2012-42-3-823.

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39

Ohtani, Masahiro. "Binomial Edge Ideals of Complete Multipartite Graphs". Communications in Algebra 41, n.º 10 (3 de octubre de 2013): 3858–67. http://dx.doi.org/10.1080/00927872.2012.680219.

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40

Rauf, Asia y Giancarlo Rinaldo. "Construction of Cohen–Macaulay Binomial Edge Ideals". Communications in Algebra 42, n.º 1 (18 de octubre de 2013): 238–52. http://dx.doi.org/10.1080/00927872.2012.709569.

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41

Dokuyucu, Ahmet, Ajdin Halilovic y Rida Irfan. "Gorenstein binomial edge ideals associated with scrolls". Communications in Algebra 45, n.º 6 (7 de octubre de 2016): 2602–12. http://dx.doi.org/10.1080/00927872.2016.1233219.

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42

Kesh, Deepanjan y Shashank K. Mehta. "A saturation algorithm for homogeneous binomial ideals". ACM Communications in Computer Algebra 45, n.º 1/2 (25 de julio de 2011): 121–22. http://dx.doi.org/10.1145/2016567.2016586.

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43

Kumar, Arvind. "Binomial edge ideals of generalized block graphs". International Journal of Algebra and Computation 30, n.º 08 (28 de agosto de 2020): 1537–54. http://dx.doi.org/10.1142/s0218196720500526.

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We classify generalized block graphs whose binomial edge ideals admit a unique extremal Betti number. We prove that the Castelnuovo–Mumford regularity of binomial edge ideals of generalized block graphs is bounded below by [Formula: see text], where [Formula: see text] is the number of minimal cut sets of the graph [Formula: see text] and obtain an improved upper bound for the regularity in terms of the number of maximal cliques and pendant vertices of [Formula: see text].
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44

Herzog, Jürgen, Takayuki Hibi, Freyja Hreinsdóttir, Thomas Kahle y Johannes Rauh. "Binomial edge ideals and conditional independence statements". Advances in Applied Mathematics 45, n.º 3 (septiembre de 2010): 317–33. http://dx.doi.org/10.1016/j.aam.2010.01.003.

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45

Ene, Viviana y Andrei Zarojanu. "On the regularity of binomial edge ideals". Mathematische Nachrichten 288, n.º 1 (25 de abril de 2014): 19–24. http://dx.doi.org/10.1002/mana.201300186.

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46

Ene, Viviana, Jürgen Herzog, Takayuki Hibi y Ayesha Asloob Qureshi. "The binomial edge ideal of a pair of graphs". Nagoya Mathematical Journal 213 (marzo de 2014): 105–25. http://dx.doi.org/10.1215/00277630-2389872.

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AbstractWe introduce a class of ideals generated by a set of 2-minors of an (m×n)-matrix of indeterminates indexed by a pair of graphs. This class of ideals is a natural common generalization of binomial edge ideals and ideals generated by adjacent minors. We determine the minimal prime ideals of such ideals and give a lower bound for their degree of nilpotency. In some special cases we compute their Gröbner basis and characterize unmixedness and Cohen–Macaulayness.
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47

Ene, Viviana, Jürgen Herzog, Takayuki Hibi y Ayesha Asloob Qureshi. "The binomial edge ideal of a pair of graphs". Nagoya Mathematical Journal 213 (marzo de 2014): 105–25. http://dx.doi.org/10.1017/s0027763000026192.

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AbstractWe introduce a class of ideals generated by a set of 2-minors of an (m×n)-matrix of indeterminates indexed by a pair of graphs. This class of ideals is a natural common generalization of binomial edge ideals and ideals generated by adjacent minors. We determine the minimal prime ideals of such ideals and give a lower bound for their degree of nilpotency. In some special cases we compute their Gröbner basis and characterize unmixedness and Cohen–Macaulayness.
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48

Mascia, Carla y Giancarlo Rinaldo. "Krull dimension and regularity of binomial edge ideals of block graphs". Journal of Algebra and Its Applications 19, n.º 07 (23 de julio de 2019): 2050133. http://dx.doi.org/10.1142/s0219498820501339.

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We give a lower bound for the Castelnuovo-Mumford regularity of binomial edge ideals of block graphs by computing the two distinguished extremal Betti numbers of a new family of block graphs, called flower graphs. Moreover, we present linear time algorithms to compute the Castelnuovo–Mumford regularity and the Krull dimension of binomial edge ideals of block graphs.
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49

Kahle, Thomas y Ezra Miller. "Decompositions of commutative monoid congruences and binomial ideals". Algebra & Number Theory 8, n.º 6 (2 de octubre de 2014): 1297–364. http://dx.doi.org/10.2140/ant.2014.8.1297.

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50

Barile, Margherita. "On Ideals Generated by Monomials and One Binomial". Algebra Colloquium 14, n.º 04 (diciembre de 2007): 631–38. http://dx.doi.org/10.1142/s1005386707000582.

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