On the binomial arithmetical rank of toric ideals

被引:1
|
作者
Katsabekis, Anargyros [1 ]
机构
[1] Ctr Wiskunde & Informat, NL-1098 XG Amsterdam, Netherlands
关键词
Arithmetical rank; toric ideals; circuits; indispensable monomials; indispensable; binomials; GENERATORS;
D O I
10.1142/S0219498814500303
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate sufficient conditions which ensure that the minimal number of generators of a toric ideal I-A is equal to its binomial arithmetical rank. We study particularly the case where I-A is the toric ideal of a graph.
引用
收藏
页数:16
相关论文
共 50 条
  • [31] ARITHMETICAL RANK OF COHEN-MACAULAY SQUAREFREE MONOMIAL IDEALS OF HEIGHT TWO
    Kimura, Kyouko
    JOURNAL OF COMMUTATIVE ALGEBRA, 2011, 3 (01) : 31 - 46
  • [32] Degenerations of toric ideals and toric varieties
    Zhu, Chun-Gang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) : 613 - 618
  • [33] ARITHMETICAL RANK OF SQUAREFREE MONOMIAL IDEALS GENERATED BY FIVE ELEMENTS OR WITH ARITHMETIC DEGREE FOUR
    Kimura, Kyouko
    Rinaldo, Giancarlo
    Terai, Naoki
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (11) : 4147 - 4170
  • [34] Arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge
    Zhu, Guangjun
    Shi, Feng
    Gu, Yan
    TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (01) : 112 - 123
  • [35] Binomial ideals
    Eisenbud, D
    Sturmfels, B
    DUKE MATHEMATICAL JOURNAL, 1996, 84 (01) : 1 - 45
  • [36] Cellular binomial ideals.: Primary decomposition of binomial ideals
    De Castilla, IOM
    Sánchez, RP
    JOURNAL OF SYMBOLIC COMPUTATION, 2000, 30 (04) : 383 - 400
  • [37] Computing toric ideals
    Bigatti, AM
    Scala, R
    Robbiano, L
    JOURNAL OF SYMBOLIC COMPUTATION, 1999, 27 (04) : 351 - 365
  • [38] Splittings of toric ideals
    Favacchio, Giuseppe
    Hofscheier, Johannes
    Keiper, Graham
    Van Tuyl, Adam
    JOURNAL OF ALGEBRA, 2021, 574 : 409 - 433
  • [39] Robust toric ideals
    Boocher, Adam
    Robeva, Elina
    JOURNAL OF SYMBOLIC COMPUTATION, 2015, 68 : 254 - 264
  • [40] TORIC IDEALS AND THEIR CIRCUITS
    Ohsugi, Hidefumi
    Hibi, Takayuki
    JOURNAL OF COMMUTATIVE ALGEBRA, 2013, 5 (02) : 309 - 322