Strongly Rickart Modules

Tamadher Arif; Saad Abdulkadhim Al-Saadi

doi:10.24297/jam.v9i4.2382

Authors

Tamadher Arif College of Science for woman, Baghdad University.
Saad Abdulkadhim Al-Saadi College of Science, Al- Mustansiriyah University.

DOI:

https://doi.org/10.24297/jam.v9i4.2382

Keywords:

Strongly Rickart module, Rickart module, strongly CS-Rickart module, CS-Rickart module

Abstract

In this paper we introduce and study the concept of strongly Rickart modules and strongly CS-Rickart modules as a stronger than of Rickart modules [8] and CS-Rickart modules[3] respectively. A module M is said to be strongly Rickart module if the right annihilators of each single element in S = End_R(M) is generated by a left semicentral idempotent in S. A module M is said to be strongly CS- Rickart if for any ??S, r_M(?) is an essential in fully invariant direct summand of M. Properties, results, characterizations and relation of these concepts with others known concepts of modules are studied.