Componentwise linear ideals and exchange properties

被引:0
作者
Qureshi, Ayesha Asloob [1 ]
Bandari, Somayeh [2 ]
机构
[1] Sabanci Univ, Fac Engn & Nat Sci, Orta Mahalle, TR-34956 Istanbul, Turkiye
[2] Buein Zahra Tech Univ, Dept Math, Qazvin, Iran
关键词
Non-pure dual exchange property; weakly polymatroidal ideals; ideals of k-covers of hypergraphs; componentwise linear ideals;
D O I
10.1142/S0219498826502014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the componentwise linearity of ideals that satisfy a certain exchange property similar to polymatroidal ideals. We also discuss the componentwise linearity and exchange properties of ideals of k-covers of totally balanced weighted hypergraphs.
引用
收藏
页数:17
相关论文
共 17 条
[1]   Ideals with Linear Quotients and Componentwise Polymatroidal Ideals [J].
Bandari, Somayeh ;
Qureshi, Ayesha Asloob .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
[2]   Monomial localizations and polymatroidal ideals [J].
Bandari, Somayeh ;
Herzog, Juergen .
EUROPEAN JOURNAL OF COMBINATORICS, 2013, 34 (04) :752-763
[3]  
Berge C., 1989, Hypergraphs: Combinatorics of Finite Sets
[4]  
Conca Aldo., 2003, Collect. Math, V54, P137
[5]   Simplicial trees are sequentially Cohen-Macaulay [J].
Faridi, S .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 190 (1-3) :121-136
[6]   The facet ideal of a simplicial complex [J].
Faridi, S .
MANUSCRIPTA MATHEMATICA, 2002, 109 (02) :159-174
[7]  
Ficarra A, 2024, Arxiv, DOI arXiv:2411.11537
[8]  
Ficarra A, 2023, Arxiv, DOI arXiv:2312.13006
[9]   Some families of componentwise linear monomial ideals [J].
Francisco, Christopher A. ;
Van Tuyl, Adam .
NAGOYA MATHEMATICAL JOURNAL, 2007, 187 :115-156
[10]   Componentwise linear ideals [J].
Herzog, J ;
Hibi, T .
NAGOYA MATHEMATICAL JOURNAL, 1999, 153 :141-153