Pseudo primary-2-absorbing submodules and some related concepts
Joint Authors
Abd Allah, Umar A.
Ali, Haybah Karim Muhammad
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 32, Issue 3 (31 Dec. 2019), pp.129-139, 11 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2019-12-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract EN
Let R be a commutative ring with identity.
The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules.
A proper submodule K of an ft-module W is called pseudo primary-2-absorbing if whenever rsxeK, for r,sER, xeW, implies that either rx e W — rad(K) + soc(W) or sx e W — rad(K) + soc(W) or rsW £ K + soc(W).
Many basic properties, examples and characterizations of these concepts are given.
Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced.
Moreover, the behavior of a pseudo primary-2-absorbing submodule under ft-homomorphism is studied.
American Psychological Association (APA)
Abd Allah, Umar A.& Ali, Haybah Karim Muhammad. 2019. Pseudo primary-2-absorbing submodules and some related concepts. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 32, no. 3, pp.129-139.
https://search.emarefa.net/detail/BIM-899952
Modern Language Association (MLA)
Abd Allah, Umar A.& Ali, Haybah Karim Muhammad. Pseudo primary-2-absorbing submodules and some related concepts. Ibn al-Haitham Journal for Pure and Applied Science Vol. 32, no. 3 (Dec. 2019), pp.129-139.
https://search.emarefa.net/detail/BIM-899952
American Medical Association (AMA)
Abd Allah, Umar A.& Ali, Haybah Karim Muhammad. Pseudo primary-2-absorbing submodules and some related concepts. Ibn al-Haitham Journal for Pure and Applied Science. 2019. Vol. 32, no. 3, pp.129-139.
https://search.emarefa.net/detail/BIM-899952
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 138-139
Record ID
BIM-899952