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On locally S−prime and locally S−primary submodules
Joint Authors
Hamali, Payman Mahmud
Jabbar, Adil Qadir
Abd al-Jabbar, Abd Allah Muhammad
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 27, Issue 3 (30 Jun. 2019), pp.165-177, 13 p.
Publisher
Publication Date
2019-06-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract EN
Throughout this article, we present locally S−prime, locally S −primary and locally S-semiprime submodules, as generalizations of S −prime, S −primary and S −semiprime submodules respectively.
We investigate some properties and characterizations of these modules.
For a multiplication module, the concepts of P(N) −locally primary and locally S −primary are equivalent.
Finally, we give the following result, if M is multiplication module, then K is locally primary submodule, if there exists a P(N) −locally primary ideal of R such that K = IM and M ≠ IM.
We provided that, every locally S −semiprime submodule of multiplication module is the intersection of some locally S −prime submodule.
American Psychological Association (APA)
Jabbar, Adil Qadir& Hamali, Payman Mahmud& Abd al-Jabbar, Abd Allah Muhammad. 2019. On locally S−prime and locally S−primary submodules. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 27, no. 3, pp.165-177.
https://search.emarefa.net/detail/BIM-1088072
Modern Language Association (MLA)
Jabbar, Adil Qadir…[et al.]. On locally S−prime and locally S−primary submodules. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 27, no. 3 (2019), pp.165-177.
https://search.emarefa.net/detail/BIM-1088072
American Medical Association (AMA)
Jabbar, Adil Qadir& Hamali, Payman Mahmud& Abd al-Jabbar, Abd Allah Muhammad. On locally S−prime and locally S−primary submodules. Journal of Babylon University : Journal of Applied and Pure Sciences. 2019. Vol. 27, no. 3, pp.165-177.
https://search.emarefa.net/detail/BIM-1088072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 176-177
Record ID
BIM-1088072