On Strong Dual Rickart Modules

Authors

  • Enas Mustafa Kamil College of pharmacy, AL-Kitab University, Kirkuk, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.2.28

Keywords:

Strong dual Rickart modules, direct summands, semisimple module

Abstract

    Gangyong Lee, S. Tariq Rizvi, and Cosmin S. Roman studied Dual Rickart modules. The main purpose of this paper is to define strong dual Rickart module. Let M and N be R- modules , M is called N- strong dual Rickart module (or relatively sd-Rickart to N)which is  denoted by M it is N-sd- Rickart if for every submodule A of M and every homomorphism fHom (M , N) , f (A) is a direct summand of N. We prove that for an R- module M , if R is M-sd- Rickart , then every cyclic submodule of M is a direct summand . In particular, if M is projective, then M is Z-regular. We give various characterizations and basic properties of this type of modules.

Downloads

Download data is not yet available.

Downloads

Published

2022-02-27

Issue

Section

Mathematics

How to Cite

On Strong Dual Rickart Modules. (2022). Iraqi Journal of Science, 63(2), 723-728. https://doi.org/10.24996/ijs.2022.63.2.28

Similar Articles

1-10 of 599

You may also start an advanced similarity search for this article.