Poincare series of fiber products and weak complete intersection ideals

JOURNAL OF ALGEBRA

卷:498

Article

Rahmati, Hamidreza¹  Striuli, Janet²  Yang, Zheng¹ 

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

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

关键词: Local ring;    Weak complete intersection;    Poincare series;    Golod homomorphism;    Golod ring;    Fiber product;   

DOI  :  10.1016/j.jalgebra.2017.11.024

来源: Elsevier

【 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.

【 授权许可】

Free