On generalized π- regular rings
Other Title(s)
حول الحلقات المنتظمة المعممة من النمط π
Author
Source
College of Basic Education Researches Journal
Issue
Vol. 10, Issue 4 (31 May. 2011), pp.582-589, 8 p.
Publisher
University of Mosul College of Basic Education
Publication Date
2011-05-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract AR
الغرض من هذا البحث هو دراسة الحلقات المنتظمة المعممة من النمط π و إعطاء بعض من هذه الخواص.
كذلك برهنا : لتكن R حلقة منتظمة معممة من النمط π یمنى و لا تحتوي على عنصر قاسم للصفر عند ذلك تكون R حلقة القسمة. لتكن R حلقة و, 1(an) ▁(⊂) r(an) لكل a∈R و n∈ z+ عندها تكون R حلقة منتظمة إذا و فقط إذا كانت R حلقة منتظمة معممة من النمط π يمنى.
Abstract EN
The purpose of this paper is to study right generalized π-regular rings and give some of it is properties.
Also, we proved : 1- Let R be a right generalized π-regular ring without zero divisors element.
Then R is a division ring.
2- 2-Let R be a ring with l (an) ≤ r (an), for every a ∈ R and n ϵ z ϵ.
Then R is regular.
If and only if R is a right generalized π-regular ring.
American Psychological Association (APA)
Jasim, Najla Tariq. 2011. On generalized π- regular rings. College of Basic Education Researches Journal،Vol. 10, no. 4, pp.582-589.
https://search.emarefa.net/detail/BIM-312594
Modern Language Association (MLA)
Jasim, Najla Tariq. On generalized π- regular rings. College of Basic Education Researches Journal Vol. 10, no. 4 (May. 2011), pp.582-589.
https://search.emarefa.net/detail/BIM-312594
American Medical Association (AMA)
Jasim, Najla Tariq. On generalized π- regular rings. College of Basic Education Researches Journal. 2011. Vol. 10, no. 4, pp.582-589.
https://search.emarefa.net/detail/BIM-312594
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 589
Record ID
BIM-312594
