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Approximaitly prime submodules and some related concepts
Joint Authors
Muhammad Ali, Haybat Karim
Ujayl, Ali Shibl
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 32, Issue 2 (31 Aug. 2019), pp.103-113, 11 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2019-08-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract EN
In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity.
A proper submodule K of an R-module Y is called an approximaitly prime submodule of Y (for short app-prime submodule), if when ever ry E K, where r E R, y E Y, implies that either y EK + soc{Y) or rY QK + soc(Y).
So, an ideal / of a ring R is called app-prime ideal of R if / is an app-prime submodule of R-module R.
Several basic properties, characterizations and examples of approximajitly prime submodules were given.
Furthermore, the definition of approximaitly prime radical of submodules of modules were introduced, and some of it is properties were established.
American Psychological Association (APA)
Ujayl, Ali Shibl& Muhammad Ali, Haybat Karim. 2019. Approximaitly prime submodules and some related concepts. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 32, no. 2, pp.103-113.
https://search.emarefa.net/detail/BIM-899811
Modern Language Association (MLA)
Ujayl, Ali Shibl& Muhammad Ali, Haybat Karim. Approximaitly prime submodules and some related concepts. Ibn al-Haitham Journal for Pure and Applied Science Vol. 32, no. 2 (Aug. 2019), pp.103-113.
https://search.emarefa.net/detail/BIM-899811
American Medical Association (AMA)
Ujayl, Ali Shibl& Muhammad Ali, Haybat Karim. Approximaitly prime submodules and some related concepts. Ibn al-Haitham Journal for Pure and Applied Science. 2019. Vol. 32, no. 2, pp.103-113.
https://search.emarefa.net/detail/BIM-899811
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 113
Record ID
BIM-899811