Weakly relative quasi-injective modules
Other Title(s)
مقاصات شبه-إغمارية نسبية ضعيفة
Joint Authors
Mahmud, Layla Salman
Mijbass, Ali Sab
Khalaf, Karim Sabr
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 23, Issue 1 (30 Jun. 2010)17 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2010-06-30
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Topics
Abstract EN
Let R be a commutative ring with unity and let M, N be unitary R-modules.
In this research, we give generalizations for the concepts: weakly relative injectivity, relative tightness and weakly injectivity of modules.
We call M weakly N-quasi-injective, if for each f Hom(N, ) there exists a submodule X of such that f (N) X ≈ M , where is the quasi-injective hull of M.
And we call M N-quasi-tight, if every quotient N / K of N which embeds in embeds in M.
While we call M weakly quasi-injective if M is weakly N-quasiinjective for every finitely generated R-module N.
M oreover, we generalize some properties of weakly N-injective, N-tight and weakly injective modules to weakly N-quasi-injective, N-quasi-tight and weakly quasi-injective modules respectively.
The relations among these concepts are also studied.
American Psychological Association (APA)
Mahmud, Layla Salman& Mijbass, Ali Sab& Khalaf, Karim Sabr. 2010. Weakly relative quasi-injective modules. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 23, no. 1.
https://search.emarefa.net/detail/BIM-354223
Modern Language Association (MLA)
Mahmud, Layla Salman…[et al.]. Weakly relative quasi-injective modules. Ibn al-Haitham Journal for Pure and Applied Science Vol. 23, no. 1 (2010).
https://search.emarefa.net/detail/BIM-354223
American Medical Association (AMA)
Mahmud, Layla Salman& Mijbass, Ali Sab& Khalaf, Karim Sabr. Weakly relative quasi-injective modules. Ibn al-Haitham Journal for Pure and Applied Science. 2010. Vol. 23, no. 1.
https://search.emarefa.net/detail/BIM-354223
Data Type
Journal Articles
Language
English
Notes
Includes appendices.
Record ID
BIM-354223