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Some results on pure submodules relative to submodule
Other Title(s)
نتائج حول القاسات الجزئية النقية بالنسبة إلى مقاس جزئي
Joint Authors
Adib, Nur Riyad
Dakhil, Shirin Awdah
Source
Issue
Vol. 12, Issue 4 (31 Dec. 2015), pp.833-837, 5 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2015-12-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract EN
Let R be a commutative ring with identity 1 and M be a unitary left -module.
A submodule N of an R-module M is said to be pure relative to submodule T of M (Simply T-pure) if for each ideal A of R, ( ) In this paper, the properties of the following concepts were studied: Pure essential submodules relative to submodule T of M (Simply T-pure essential),Pure closed submodules relative to submodule T of M (Simply T-pure closed) and relative pure complement submodule relative to submodule T of M (Simply T-pure complement) and T-purely extending.
We prove that; Let M be a T-purely extending module and let N be a T-pure submodule of M.
If M has the T-PIP, then N is T-purely extending.
American Psychological Association (APA)
Dakhil, Shirin Awdah& Adib, Nur Riyad. 2015. Some results on pure submodules relative to submodule. Baghdad Science Journal،Vol. 12, no. 4, pp.833-837.
https://search.emarefa.net/detail/BIM-654408
Modern Language Association (MLA)
Dakhil, Shirin Awdah& Adib, Nur Riyad. Some results on pure submodules relative to submodule. Baghdad Science Journal Vol. 12, no. 4 (2015), pp.833-837.
https://search.emarefa.net/detail/BIM-654408
American Medical Association (AMA)
Dakhil, Shirin Awdah& Adib, Nur Riyad. Some results on pure submodules relative to submodule. Baghdad Science Journal. 2015. Vol. 12, no. 4, pp.833-837.
https://search.emarefa.net/detail/BIM-654408
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 736-737
Record ID
BIM-654408