| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4585940 | Journal of Algebra | 2012 | 8 Pages |
Abstract
We study the class of ADS rings and modules introduced by Fuchs (1970) [F]. We give some connections between this notion and classical notions such as injectivity and quasi-continuity. A simple ring R such that RR is ADS must be either right self-injective or indecomposable as a right R-module. Under certain conditions we can construct a unique ADS hull up to isomorphism. We introduce the concept of completely ADS modules and characterize completely ADS semiperfect right modules as direct sum of semisimple and local modules.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
