Strongly Goldie extending modules
Other Title(s)
مقاسات التوسع القوي من النمط غولدي
Author
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 8, Issue 1 (30 Jun. 2016), pp.1-17, 17 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2016-06-30
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Topics
Abstract EN
A submodule N of a right R-module M is said to be strongly large in case for any , with , there exists an such that and .
In this paper, we introduce strongly -extending modules which are particular -extending modules, and investigate their properties and characterizations.
An R-module M is called strongly -extending if for each submodule X of M there exists a direct summand D of M such that is strongly large in both X and D.
Some sufficient conditions for a direct sum of strongly -extending modules to be strongly -extending are obtained.
Examples to illustrate this concept are given.
American Psychological Association (APA)
Ghawi, Thair Yunus. 2016. Strongly Goldie extending modules. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 8, no. 1, pp.1-17.
https://search.emarefa.net/detail/BIM-787635
Modern Language Association (MLA)
Ghawi, Thair Yunus. Strongly Goldie extending modules. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 8, no. 1 (2016), pp.1-17.
https://search.emarefa.net/detail/BIM-787635
American Medical Association (AMA)
Ghawi, Thair Yunus. Strongly Goldie extending modules. al-Qadisiyah Journal for Computer Science and Mathematics. 2016. Vol. 8, no. 1, pp.1-17.
https://search.emarefa.net/detail/BIM-787635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 15-16
Record ID
BIM-787635
