Finitely hollow-lifting modules
Joint Authors
Hassan, Ali A.
al-Bahrani, Bahar Hamad Ahmad
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 37, Issue 4D (30 Sep. 2011), pp.1-18, 18 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2011-09-30
Country of Publication
Iraq
No. of Pages
18
Main Subjects
Abstract EN
Let R be any ring and let M be any leftR-module.
We say that M is called a finitely hollow-lifting module (or briefly f-hollow lifting) if every finitely generated sub module N of M with M / N hollow, has a coessential sub module in M that is a direct summand of M.
The main purpose of this paper is to develop the properties of f-hollow-lifting modules.
Also we study the relation between the projectivity and f-hollow-lifting modules.
We prove that for a projective module P, P is f-hollow-lifting module if and only if for every sub module A of p with P / A is hollow, P / A has a protective cover.
American Psychological Association (APA)
Hassan, Ali A.& al-Bahrani, Bahar Hamad Ahmad. 2011. Finitely hollow-lifting modules. Journal of Basrah Researches : Sciences،Vol. 37, no. 4D, pp.1-18.
https://search.emarefa.net/detail/BIM-286080
Modern Language Association (MLA)
Hassan, Ali A.& al-Bahrani, Bahar Hamad Ahmad. Finitely hollow-lifting modules. Journal of Basrah Researches : Sciences Vol. 37, no. 4D (Sep. 2011), pp.1-18.
https://search.emarefa.net/detail/BIM-286080
American Medical Association (AMA)
Hassan, Ali A.& al-Bahrani, Bahar Hamad Ahmad. Finitely hollow-lifting modules. Journal of Basrah Researches : Sciences. 2011. Vol. 37, no. 4D, pp.1-18.
https://search.emarefa.net/detail/BIM-286080
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 18
Record ID
BIM-286080