On primary compactly packed modules
Joint Authors
al-Atrash, Muhammad S.
Ashur, Arwa
Source
IUG Journal of Natural Studies
Issue
Vol. 13, Issue 2 (30 Jun. 2005), pp.1-12, 12 p.
Publisher
The Islamic University-Gaza Deanship of Research and Graduate Affairs
Publication Date
2005-06-30
Country of Publication
Palestine (Gaza Strip)
No. of Pages
12
Main Subjects
Topics
Abstract EN
A proper submodule N of a module M over a ring R is compactly packed if for each family {P } 2 of prime submodules of M with N S 2 P ,N P for some 2 .
A module M is called compactly packed if every proper submodule is compactly packed.
This concept was introduced in [17].
In this paper, we generalize this concept to primary submodules and introduce the concept of primary compactly packed modules.
We also generalize the Prime Avoidance Theorem for modules that was proved in [13] to the Primary Avoidance Theorem for modules.
In addition, we study various properties of primary compactly packed modules.
American Psychological Association (APA)
al-Atrash, Muhammad S.& Ashur, Arwa. 2005. On primary compactly packed modules. IUG Journal of Natural Studies،Vol. 13, no. 2, pp.1-12.
https://search.emarefa.net/detail/BIM-11602
Modern Language Association (MLA)
al-Atrash, Muhammad S.& Ashur, Arwa. On primary compactly packed modules. IUG Journal of Natural Studies Vol. 13, no. 2 (Jun. 2005), pp.1-12.
https://search.emarefa.net/detail/BIM-11602
American Medical Association (AMA)
al-Atrash, Muhammad S.& Ashur, Arwa. On primary compactly packed modules. IUG Journal of Natural Studies. 2005. Vol. 13, no. 2, pp.1-12.
https://search.emarefa.net/detail/BIM-11602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 11-12
Record ID
BIM-11602
