On µ-lifting modules
Other Title(s)
حول مقاسات الرفع من النمط-µ
Joint Authors
Khalid, Wasan
Kamil, Inas Mustafa
Source
Issue
Vol. 60, Issue 2 (30 Apr. 2019), pp.371-380, 10 p.
Publisher
University of Baghdad College of Science
Publication Date
2019-04-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract EN
Let R be a ring with identity and let M be a left R-module.
M is called µ-lifting modulei f for every sub module A of M, There exists a direct summand D of M such that M = D D', for some sub module D' of M such that A≤D and A D'<<µ D'.The aim of this paper is to introduce properties of µ-lifting modules.
Especially, we give characterizations of µ-lifting modules.
On the other hand, the notion of amply µ-supplemented iis studied as a generalization of amply supplemented modules, we show that if M is amply µ-supplemented such that every µ-supplement sub module of M is a direct summand, then M is µ-lifting module.
Finally, we give some conditions under which the quotient and direct sum of µ-lifting modules is µ-lifting.
American Psychological Association (APA)
Kamil, Inas Mustafa& Khalid, Wasan. 2019. On µ-lifting modules. Iraqi Journal of Science،Vol. 60, no. 2, pp.371-380.
https://search.emarefa.net/detail/BIM-880919
Modern Language Association (MLA)
Kamil, Inas Mustafa& Khalid, Wasan. On µ-lifting modules. Iraqi Journal of Science Vol. 60, no. 2 (2019), pp.371-380.
https://search.emarefa.net/detail/BIM-880919
American Medical Association (AMA)
Kamil, Inas Mustafa& Khalid, Wasan. On µ-lifting modules. Iraqi Journal of Science. 2019. Vol. 60, no. 2, pp.371-380.
https://search.emarefa.net/detail/BIM-880919
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 380
Record ID
BIM-880919