Dual $π$-Rickart Modules

Details Dual $π$-Rickart Modules Dual $π$-Rickart Modules

2012-04-11

arxiv.org/abs/1204.2444v1

Mathematics

Rings and Algebras

Scientific paper

Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S =$ End$_R(M)$. In this paper we introduce dual $\pi$-Rickart modules as a generalization of $\pi$-regular rings as well as that of dual Rickart modules. The module $M$ is called {\it dual $\pi$-Rickart} if for any $f\in S$, there exist $e^2=e\in S$ and a positive integer $n$ such that Im$f^n=eM$. We prove that some results of dual Rickart modules can be extended to dual $\pi$-Rickart modules for this general settings. We investigate relations between a dual $\pi$-Rickart module and its endomorphism ring.

Affiliated with

Also associated with

No associations

Rating

Dual $π$-Rickart Modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dual $π$-Rickart Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dual $π$-Rickart Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-717084