Year: 2008
Type: preprint
Abstract: Zhou defined $δ$-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are $δ$-supplemented. Module theoretic version of our results are obtained.
Source: arXiv (Cornell University)
Authors: Büyükaşık, Engin, Lomp, Christian
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394664665