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
[41]   Extremal Betti numbers of edge ideals [J].
Takayuki Hibi ;
Kyouko Kimura ;
Kazunori Matsuda .
Archiv der Mathematik, 2019, 113 :149-155
[42]   Betti numbers of mixed product ideals [J].
Giancarlo Rinaldo .
Archiv der Mathematik, 2008, 91 :416-426
[43]   Componentwise linear ideals and Golod rings [J].
Herzog, J ;
Reiner, V ;
Welker, V .
MICHIGAN MATHEMATICAL JOURNAL, 1999, 46 (02) :211-223
[44]   Betti-linear ideals [J].
Wood, Daniel .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (04) :1753-1765
[45]   Minimal free resolutions for homogeneous ideals with Betti numbers 1, n, n,1 [J].
Ragusa, Alfio ;
Zappala, Giuseppe .
COMMUNICATIONS IN ALGEBRA, 2019, 47 (08) :3123-3140
[46]   Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers [J].
Huy Tài Hà ;
Adam Van Tuyl .
Journal of Algebraic Combinatorics, 2008, 27 :215-245
[47]   Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers [J].
Ha, Huy Tai ;
Van Tuyl, Adam .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 27 (02) :215-245
[48]   Betti numbers of powers of path ideals of cycles [J].
Balanescu, Silviu ;
Cimpoeas, Mircea ;
Vu, Thanh .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2025, 61 (04)
[49]   Extremal Betti numbers and applications to monomial ideals [J].
Bayer, D ;
Charalambous, H ;
Popescu, S .
JOURNAL OF ALGEBRA, 1999, 221 (02) :497-512
[50]   Completely m-full ideals and componentwise linear ideals [J].
Harima, Tadahito ;
Watanabe, Junzo .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2015, 158 (02) :239-248
12345