首页   按字顺浏览 期刊浏览 卷期浏览 Locally perfect commutative rings are those whose modules have maximal submodules
Locally perfect commutative rings are those whose modules have maximal submodules

 

作者: Carl Faith,  

 

期刊: Communications in Algebra  (Taylor Available online 1995)
卷期: Volume 23, issue 13  

页码: 4885-4886

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825506

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

R denotes a commutative ring. After Bass[B], a ring R is perfect in case every module has a projective cover. A ring R is a maxringprovided that every nonzero i2-module has a maximal submodule. Bass characterized perfect rings as semilocal rings with T-nilpotent Jacobson radical J, and showed they are max rings. Moreover, Bass proved that R is perfect iff R satisfies the dec on principal ideals. Using Bass' theorems, the Hamsher-Koifman ([H],[K]) characterization of max R (see (3) ⇔(4) below), and the characterization of max R by the author via subdirectly irreducible quasi-injective R-modules, we obtain.

 

点击下载:  PDF (73KB)



返 回