Poincare series of fiber products and weak complete intersection ideals

被引：5

作者：

Rahmati, Hamidreza ^{[1
]}

Striuli, Janet ^{[2
]}

Yang, Zheng ^{[1
]}

机构：

[1] Miami Univ, Dept Math, Oxford, OH 45056 USA

[2] Fairfield Univ, Dept Math, Fairfield, CT 06824 USA

来源：

JOURNAL OF ALGEBRA | 2018年 / 498卷

关键词：

Local ring; Weak complete intersection; Poincare series; Golod homomorphism; Golod ring; Fiber product; LOCAL-RINGS; ALGEBRA RETRACTS; FREE RESOLUTIONS; HOMOMORPHISMS; MODULES;

D O I：

10.1016/j.jalgebra.2017.11.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Poincare series of modules over a fiber product of commutative local rings. We introduce the notion of a weak complete intersection ideal; these are the ideals with the property that every differential in their minimal free resolutions can be represented by a matrix whose entries are in the ideal itself. We show that many properties of the Poincare series that are known to hold for a fiber product over the maximal ideal also hold for those over weak intersection ideals. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：129 / 152

页数：24

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