Consecutive cancellations in Tor modules over local rings

被引：2

作者：

Sammartano, Alessio ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 12期

关键词：

BETTI NUMBERS;

D O I：

10.1016/j.jpaa.2016.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M, N be finite modules over a Noetherian local ring R. We show that the bigraded Hilbert series of gr(Tor(R)(M, N)) is obtained from that of Tor(gr(R))(gr(M), gr(N)) by negative consecutive cancellations, thus extending a theorem of Rossi and Sharifan. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：3861 / 3865

页数：5

共 12 条

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