Noetherian Dimension and Co-localization of Artinian Modules over Local Rings

作     者：Le Thanh Nhan Tran Do Minh Chau 

作者机构：Thai Nguyen College of Sciences Thai Nguyen Vietnam 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2014年第21卷第4期

页      面：663-670页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0701[理学-数学] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the Vietnam National Foundation for Science and Technology Development under grant number 

主　　题：Artinian modules co-localization going up formal fibers 

摘      要：Let （R,m） be a Noetherian local ring. Denote by N-dimnA the Noetherian dimension of an Artinian R-module A. In this paper, we give some characterizations for the ring R to satisfy N-dimRA = dim（R/AnnRA） for certain Artinian R-modules A. Then the existence of a co-localization compatible with Artinian R-modules is studied and it is shown that if it is compatible with local cohomologies of finitely generated modules, then the base ring is universally catenary and all of its formal fibers are Cohen-Macaulay.