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Z-primary submodules
Other Title(s)
المقاسات الأولية من النمط-Z
Joint Authors
al-Muzaffar, Nihad Salim
Husayn, Ali Talal
Source
Issue
Vol. 57, Issue (sA) (31 Dec. 2016), pp.163-167, 5 p.
Publisher
University of Baghdad College of Science
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract EN
Let R is a commutative ring with identity and M be a unitary R -module , a submodule N of an R-module M is called primary if whenever rx E N ; r E R,x E M, then either x E Nor r" 6 [N\ M] for some n 6 Z+.
In this paper we say that N is Z -primary submodule of an R -module M if whenever f(x).x E N,f E M* = Hom(M,R), xe M, then either x E N or (f(x))n 6 [N:Mf for some n E Z+, where [N: M] = {r: r E R and rM £ N}.
We also study a Z-primary module if (0) is a Z-primary submodule of M.
We give many properties of Z-primary submodule of M and Z-primary module.
American Psychological Association (APA)
al-Muzaffar, Nihad Salim& Husayn, Ali Talal. 2016. Z-primary submodules. Iraqi Journal of Science،Vol. 57, no. (sA), pp.163-167.
https://search.emarefa.net/detail/BIM-759762
Modern Language Association (MLA)
al-Muzaffar, Nihad Salim& Husayn, Ali Talal. Z-primary submodules. Iraqi Journal of Science Vol. 57, no. (sA) (2016), pp.163-167.
https://search.emarefa.net/detail/BIM-759762
American Medical Association (AMA)
al-Muzaffar, Nihad Salim& Husayn, Ali Talal. Z-primary submodules. Iraqi Journal of Science. 2016. Vol. 57, no. (sA), pp.163-167.
https://search.emarefa.net/detail/BIM-759762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 167
Record ID
BIM-759762