On closed Rickart modules
Other Title(s)
حول مقاسات ريكارت المغلقة
Joint Authors
Hadi, Inam Muhammad Ali
Ghawi, Thair Yunus
Source
Issue
Vol. 57, Issue 4B (31 Dec. 2016), pp.2746-2753, 8 p.
Publisher
University of Baghdad College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract EN
In this article, we study the notion of closed Rickart modules.
A right R-module M is said to be closed Rickart if, for each φ∈End(M), r_M (φ)=Kerφ is a closed submodule of M.
Closed Rickart modules is a proper generalization of Rickart modules.
Many properties of closed Rickart modules are investigated.
Also, we provide some characterizations of closed Rickart modules.
A necessary and sufficient condition is provided to ensure that this property is preserved under direct sums.
Several connections between closed Rickart modules and other classes of modules are given.
It is shown that every closed Rickart module is κ-nonsingular module.
Examples which delineate this concept and some results are provided.
American Psychological Association (APA)
Hadi, Inam Muhammad Ali& Ghawi, Thair Yunus. 2016. On closed Rickart modules. Iraqi Journal of Science،Vol. 57, no. 4B, pp.2746-2753.
https://search.emarefa.net/detail/BIM-748228
Modern Language Association (MLA)
Hadi, Inam Muhammad Ali& Ghawi, Thair Yunus. On closed Rickart modules. Iraqi Journal of Science Vol. 57, no. 4B (2016), pp.2746-2753.
https://search.emarefa.net/detail/BIM-748228
American Medical Association (AMA)
Hadi, Inam Muhammad Ali& Ghawi, Thair Yunus. On closed Rickart modules. Iraqi Journal of Science. 2016. Vol. 57, no. 4B, pp.2746-2753.
https://search.emarefa.net/detail/BIM-748228
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 2753
Record ID
BIM-748228
