Componentwise linear ideals with minimal or maximal Betti numbers

被引:7
|
作者
Herzog, Juergen [1 ]
Hibi, Takayuki [2 ]
Murai, Satoshi [2 ]
Takayama, Yukihide [3 ]
机构
[1] Univ Duisburg Essen, Fachbereich Math & Informat, DE-45117 Essen, Germany
[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan
[3] Ritsumeikan Univ, Dept Math Sci, Shiga 5258577, Japan
来源
ARKIV FOR MATEMATIK | 2008年 / 46卷 / 01期
基金
日本学术振兴会;
关键词
D O I
10.1007/s11512-007-0046-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.
引用
收藏
页码:69 / 75
页数:7
相关论文
共 50 条
  • [1] Betti splitting via componentwise linear ideals
    Bolognini, Davide
    JOURNAL OF ALGEBRA, 2016, 455 : 1 - 13
  • [2] Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals
    Adiprasito, Karim A.
    Bjorner, Anders
    Goodarzi, Afshin
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2017, 19 (12) : 3851 - 3865
  • [3] Minimal graded Betti numbers and stable ideals
    Francisco, CA
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (10) : 4971 - 4987
  • [4] GRADED BETTI NUMBERS OF IDEALS WITH LINEAR QUOTIENTS
    Sharifan, Leila
    Varbaro, Matteo
    MATEMATICHE, 2008, 63 (02): : 257 - 265
  • [5] Componentwise linear ideals
    Herzog, J
    Hibi, T
    NAGOYA MATHEMATICAL JOURNAL, 1999, 153 : 141 - 153
  • [6] On the Betti numbers and Rees algebras of ideals with linear powers
    Nicklasson, Lisa
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 53 (02) : 575 - 592
  • [7] On the Betti numbers and Rees algebras of ideals with linear powers
    Lisa Nicklasson
    Journal of Algebraic Combinatorics, 2021, 53 : 575 - 592
  • [8] Maximal Betti numbers
    Chardin, M
    Gasharov, V
    Peeva, I
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (07) : 1877 - 1880
  • [9] BETTI NUMBERS OF PIECEWISELEX IDEALS
    Jamroz, Christina
    Sosa, Gabriel
    JOURNAL OF COMMUTATIVE ALGEBRA, 2018, 10 (03) : 339 - 345
  • [10] Betti numbers of binomial ideals
    de Alba, Hernan
    Morales, Marcel
    JOURNAL OF SYMBOLIC COMPUTATION, 2017, 80 : 387 - 402