Approximaitly quasi-prime submodules and some related concepts
Other Title(s)
المقاسات الجزئية الأولية الظاهرية تقريبا ومفاهيم ذات علاقة
Joint Authors
Muhammad Ali, Haybat Karim
Ujayl, Ali Shibl
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 11, Issue 2 (30 Jun. 2019), pp.54-62, 9 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2019-06-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Abstract EN
“Let R be a commutative ring with identity and B is a left unitary R-module.
A proper submodule E of B is called a quasi-prime submodule, if whenever rsb∈E, where r,s∈R, b∈B implies that either rb∈E or sb∈E”.
As a generalization of a quasi-prime submodules, in this paper we introduce the concept of approximaitly quasi-prime submodules, where a proper submodule E of B is an approximaitly quasi-prime submodule, if whenever rsb∈E, where r,s∈R, b∈B implies that either rb∈E+soc(B) or sb∈E+soc(B), where soc(B) is the intersection of all essential submodules of B.
Many basic properties, characterization and examples of this concept are given.
Furthermore, we study the behavior of approximaitly quasi-prime submodules under R-homomorphisms.
Finally, we introduced characterizations of approximaitly quasi-prime submodule in class of multiplication modules.
American Psychological Association (APA)
Muhammad Ali, Haybat Karim& Ujayl, Ali Shibl. 2019. Approximaitly quasi-prime submodules and some related concepts. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 2, pp.54-62.
https://search.emarefa.net/detail/BIM-883447
Modern Language Association (MLA)
Muhammad Ali, Haybat Karim& Ujayl, Ali Shibl. Approximaitly quasi-prime submodules and some related concepts. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 2 (2019), pp.54-62.
https://search.emarefa.net/detail/BIM-883447
American Medical Association (AMA)
Muhammad Ali, Haybat Karim& Ujayl, Ali Shibl. Approximaitly quasi-prime submodules and some related concepts. al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 2, pp.54-62.
https://search.emarefa.net/detail/BIM-883447
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 61
Record ID
BIM-883447