Strongly) π- regular rings relative to right ideal)
Other Title(s)
الحلقات π-المنتظمة و π-قوية الانتظام بالنسبة لمثالي يميني
Joint Authors
Awdah, Muhammad
al-Khatib, Abd al-Basit
Hakmi, Hamzah
Source
Journal of Natural Sciences, Life and Applied Sciences
Issue
Vol. 4, Issue 3 (30 Sep. 2020), pp.68-82, 15 p.
Publisher
Publication Date
2020-09-30
Country of Publication
Palestine (Gaza Strip)
No. of Pages
15
Main Subjects
Abstract EN
In this paper we study the notion of π- regular and strongly π- regular rings relative to right ideal.
We provide several characterizations of this rings and study their properties.
It is shown that every ring R is π- regular relative to any maximal right ideal of R .
Also, we find necessary and sufficient conditions to be a ring R satisfies the d.c.c.
on chains of the form Ra ⊇ Ra² ⊇ Λ relative to ideal for every a ∈ R .
New results obtained include necessary and sufficient conditions for a ring to be π- regular, strongly π- regular and P- potent relative to right ideal.
American Psychological Association (APA)
al-Khatib, Abd al-Basit& Awdah, Muhammad& Hakmi, Hamzah. 2020. Strongly) π- regular rings relative to right ideal). Journal of Natural Sciences, Life and Applied Sciences،Vol. 4, no. 3, pp.68-82.
https://search.emarefa.net/detail/BIM-1278095
Modern Language Association (MLA)
al-Khatib, Abd al-Basit…[et al.]. Strongly) π- regular rings relative to right ideal). Journal of Natural Sciences, Life and Applied Sciences Vol. 4, no. 3 (Sep. 2020), pp.68-82.
https://search.emarefa.net/detail/BIM-1278095
American Medical Association (AMA)
al-Khatib, Abd al-Basit& Awdah, Muhammad& Hakmi, Hamzah. Strongly) π- regular rings relative to right ideal). Journal of Natural Sciences, Life and Applied Sciences. 2020. Vol. 4, no. 3, pp.68-82.
https://search.emarefa.net/detail/BIM-1278095
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 82
Record ID
BIM-1278095
