W-closed submodule and related concepts
Joint Authors
Ali, Haibat K. Muhammad
Dahash, Muhammad E.
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 31, Issue 2 (31 Aug. 2018), pp.164-178, 15 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2018-08-31
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Abstract EN
Let R be a commutative ring with identity, and M be a left untial module.
In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w-closed in M, "if it has no proper weak essential extension in M", that is if there exists a submodule L of M with K is weak essential submodule of L then K=L.
Some basic properties, examples of w-closed submodules are investigated, and some relationships between w-closed submodules and other related modules are studied.
Furthermore, modules with chain condition on w-closed submodules are studied.
American Psychological Association (APA)
Ali, Haibat K. Muhammad& Dahash, Muhammad E.. 2018. W-closed submodule and related concepts. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 31, no. 2, pp.164-178.
https://search.emarefa.net/detail/BIM-900553
Modern Language Association (MLA)
Ali, Haibat K. Muhammad& Dahash, Muhammad E.. W-closed submodule and related concepts. Ibn al-Haitham Journal for Pure and Applied Science Vol. 31, no. 2 (2018), pp.164-178.
https://search.emarefa.net/detail/BIM-900553
American Medical Association (AMA)
Ali, Haibat K. Muhammad& Dahash, Muhammad E.. W-closed submodule and related concepts. Ibn al-Haitham Journal for Pure and Applied Science. 2018. Vol. 31, no. 2, pp.164-178.
https://search.emarefa.net/detail/BIM-900553
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 178
Record ID
BIM-900553
