Betti numbers of mixed product ideals

被引:8
作者
Rinaldo, Giancarlo [1 ]
机构
[1] Univ Messina, Dipartimento Matemat, I-98166 Messina, Italy
关键词
Mixed product ideals; Betti numbers; Cohen-Macaulay rings;
D O I
10.1007/s00013-008-2781-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We compute the Betti numbers of the resolution of a special class of square-free monomial ideals, the ideals of mixed products. Moreover when these ideals are Cohen-Macaulay we calculate their type.
引用
收藏
页码:416 / 426
页数:11
相关论文
共 9 条
[1]  
[Anonymous], 1994, COMMUTATIVE ALGEBRA
[2]  
Bruns W., 1997, Cohen-Macaulay Rings
[3]  
EMTANDER E, COMMUNICATI IN PRESS
[4]   Cohen-Macaulay polyrnatroidal ideals [J].
Herzog, J ;
Hibi, T .
EUROPEAN JOURNAL OF COMBINATORICS, 2006, 27 (04) :513-517
[5]   ON THE BETTINUMBERS OF FINITE PURE AND LINEAR RESOLUTIONS [J].
HERZOG, J ;
KUHL, M .
COMMUNICATIONS IN ALGEBRA, 1984, 12 (13-1) :1627-1646
[6]   Some algebraic invariants related to mixed product ideals [J].
Ionescu, Cristodor ;
Rinaldo, Giancarlo .
ARCHIV DER MATHEMATIK, 2008, 91 (01) :20-30
[7]  
Miller E., 2005, Combinatorial Commutative Algebra, Graduate Texts in Mathematics
[8]   On the normality of monomial ideals of mixed products [J].
Restuccia, G ;
Villarreal, RH .
COMMUNICATIONS IN ALGEBRA, 2001, 29 (08) :3571-3580
[9]  
Villarreal R, 2001, Monomial algebras