On generalized simple singular AP-injective rings
Joint Authors
Mahmud, Raida Dawud
Muhammad, Husam Q.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 9, Issue 1 (30 Apr. 2012), pp.175-180, 6 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2012-04-30
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Topics
Abstract AR
يقال للحلقة R بأنها حلقة بسيطة منفردة معممة و غامرة من النمط AP – إذا كان كل مثالي أعظمي أساسي أيمن M في R و لكل bϵM فان bR/bM غامر من النمط AP -.
قمنا بدراسة مميزات و خواص هذا الصنف من الحلقات.
بصورة عامة، ما هي الشروط للحلقة البسيطة المنفردة المعممة و الغامرة من النمط AP- لكي تكون حلقة منتظمة بضعف و حلقة منتظمة حسب مفهوم فون نيومان.
Abstract EN
A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR / bM is AP-injective.
We shall study the characterization and properties of this class of rings.
Some interesting results on these rings are obtained.
In particular, conditions under which generalized simple singular AP-injective rings are weakly regular rings, and Von Neumann regular rings.
American Psychological Association (APA)
Mahmud, Raida Dawud& Muhammad, Husam Q.. 2012. On generalized simple singular AP-injective rings. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 9, no. 1, pp.175-180.
https://search.emarefa.net/detail/BIM-322022
Modern Language Association (MLA)
Mahmud, Raida Dawud& Muhammad, Husam Q.. On generalized simple singular AP-injective rings. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 9, no. 1 (2012), pp.175-180.
https://search.emarefa.net/detail/BIM-322022
American Medical Association (AMA)
Mahmud, Raida Dawud& Muhammad, Husam Q.. On generalized simple singular AP-injective rings. al- Rafidain Journal of Computer Sciences and Mathematics. 2012. Vol. 9, no. 1, pp.175-180.
https://search.emarefa.net/detail/BIM-322022
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 180
Record ID
BIM-322022
