On the notion of Cohen-Macaulayness for non-Noetherian rings

JOURNAL OF ALGEBRA

卷:322

Article

Tousi, Massoud^1,2 

[1] Shahid Beheshti Univ, Dept Math, Ctr Excellence Algebra & Log Struct Discrete Math, GC, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

关键词: Cohen-Macaulay ring;    Grade of an ideal;    Height of an ideal;    Non-Noetherian ring;    Rings of invariants;   

DOI  :  10.1016/j.jalgebra.2009.06.017

来源: Elsevier

【 摘 要 】

There exist many characterizations of Noetherian Cohen-Macaulay rings in the literature. These characterizations do not remain equivalent if we drop the Noetherian assumption. The aim of this paper is to provide some comparisons between some of these characterizations in non-Noetherian case. Toward solving a conjecture posed by Glaz, we give a generalization of the Hochster-Eagon result on Cohen-Macaulayness of invariant rings, in the context of non-Noetherian rings. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free