Free summands of syzygies of modules over local rings

被引:1
作者
Snapp, Bart [1 ]
机构
[1] Coastal Carolina Univ, Dept Math, Conway, SC 29528 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/j.jpaa.2009.12.023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a new criterion for a commutative, Noetherian, local ring to be Cohen-Macaulay. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:1808 / 1811
页数:4
相关论文
共 6 条
[1]  
Dutta S. P., 1989, Math. Sci. Res. Inst. Publ., V15, P139, DOI 10.1007/978-1-4612-3660-3_7
[2]   ON THE CANONICAL ELEMENT CONJECTURE [J].
DUTTA, SP .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 299 (02) :803-811
[3]   Some restrictions on the maps in minimal resolutions [J].
Koh, J ;
Lee, K .
JOURNAL OF ALGEBRA, 1998, 202 (02) :671-689
[4]   A remarkable property of the (co) syzygy modules of the residue field of a nonregular local ring [J].
Martsinkovsky, A .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 110 (01) :9-13
[5]  
SERRE J.-P., 2000, SPRINGER MG MATH, DOI 10.1007/978-3-662-04203-8
[6]   Syzygy modules with semidualizing or G-projective summands [J].
Takahashi, R .
JOURNAL OF ALGEBRA, 2006, 295 (01) :179-194