Dual π-Rickart modules
Date
2012Source Title
Revista Colombiana de Matematicas
Print ISSN
0034-7426
Electronic ISSN
2357-4100
Publisher
Sociedad Colombiana de Matematicas
Volume
46
Issue
2
Pages
167 - 180
Language
English
Type
ArticleItem Usage Stats
62
views
views
14
downloads
downloads
Abstract
Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). In this paper we introduce dual π-Rickart modules as a generalization of π-regular rings as well as that of dual Rickart modules. The
module M is said to be dual π-Rickart if for any f ∈ S, there exist e2 = e ∈ S and a positive integer n such that Im fn = eM. We prove that some results
of dual Rickart modules can be extended to dual π-Rickart modules for this general settings. We investigate relations between a dual π-Rickart module
and its endomorphism ring.
Keywords
π-Rickart modulesDual π-Rickart modules
Fitting modules
Generalized left principally projective rings
π-regular rings
13C99
16D80
16U80