Different Characterizations of Large Submodules of QTAG-Modules
Joint Authors
Naji, Sabah A. R. K.
Sikander, Fahad
Mehdi, Alveera
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules.
The study of large submodules and its fascinating properties makes the theory of QTAG-modules more interesting.
A fully invariant submodule L of M is large in M if L+B=M, for every basic submodule B of M.
The impetus of these efforts lies in the fact that the rings are almost restriction-free.
This motivates us to find the necessary and sufficient conditions for a submodule of a QTAG-module to be large and characterize them.
Also, we investigate some properties of large submodules shared by Σ-modules, summable modules, σ-summable modules, and so on.
American Psychological Association (APA)
Sikander, Fahad& Mehdi, Alveera& Naji, Sabah A. R. K.. 2017. Different Characterizations of Large Submodules of QTAG-Modules. Journal of Mathematics،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1182348
Modern Language Association (MLA)
Sikander, Fahad…[et al.]. Different Characterizations of Large Submodules of QTAG-Modules. Journal of Mathematics No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1182348
American Medical Association (AMA)
Sikander, Fahad& Mehdi, Alveera& Naji, Sabah A. R. K.. Different Characterizations of Large Submodules of QTAG-Modules. Journal of Mathematics. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1182348
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1182348