Strongly Rickart Modules
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 4
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 = EndR(M) is generated by a left semicentral idempotent in S. A module M is said to be strongly CS- Rickart if for any ??S, rM(?) 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.
Authors and Affiliations
Tamadher Arif, Saad Abdulkadhim Al-Saadi
Keywords
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- EP ID EP651389
- DOI 10.24297/jam.v9i4.2382
- Views 138
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