Weak and Co-weak baer modules
Other Title(s)
مودولات بيير الضعيفة و الضعيفة المرافقة
Joint Authors
Hakimi, Hamzah
al-Fakhuri, Majd
al-Khujah, Iman
Source
Journal of Natural Sciences, Life and Applied Sciences
Issue
Vol. 5, Issue 4 (31 Dec. 2021), pp.98-110, 13 p.
Publisher
Publication Date
2021-12-31
Country of Publication
Palestine (Gaza Strip)
No. of Pages
13
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
The object of this paper is study the notions of weak Baer and weak Rickart rings and modules.
We obtained many characterizations of weak Rickart rings and provide their properties.
Relations ship between a weak Rickart (weak Baer) module and its endomorphism ring are studied.
We proved that a weak Baer module with no infinite set of nonzero orthogonal idempotent elements in its endomorphism ring is precisely a Baer module.
In addition, the endomorphism ring of a semi-projective weak Rickart module is semi-potent and the endomorphism ring of a semi-injective coweak Rickart module is semi-potent.
Furthermore, we show that a free module is weak Baer if and only if its endomorphism ring is left weak Baer.
American Psychological Association (APA)
al-Khujah, Iman& al-Fakhuri, Majd& Hakimi, Hamzah. 2021. Weak and Co-weak baer modules. Journal of Natural Sciences, Life and Applied Sciences،Vol. 5, no. 4, pp.98-110.
https://search.emarefa.net/detail/BIM-1407732
Modern Language Association (MLA)
al-Khujah, Iman…[et al.]. Weak and Co-weak baer modules. Journal of Natural Sciences, Life and Applied Sciences Vol. 5, no. 4 (Dec. 2021), pp.98-110.
https://search.emarefa.net/detail/BIM-1407732
American Medical Association (AMA)
al-Khujah, Iman& al-Fakhuri, Majd& Hakimi, Hamzah. Weak and Co-weak baer modules. Journal of Natural Sciences, Life and Applied Sciences. 2021. Vol. 5, no. 4, pp.98-110.
https://search.emarefa.net/detail/BIM-1407732
Data Type
Journal Articles
Language
English
Notes
Record ID
BIM-1407732