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On GP-injectivity with some types of rings
Joint Authors
Mahmud, Raida Dawud
Abd al-Jabbar, Abd Allah M.
Source
al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah
Issue
Vol. 19, Issue 2 (30 Jun. 2007), pp.57-63, 7 p.
Publisher
University of Mosul College of Education for Pure Science
Publication Date
2007-06-30
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Topics
Abstract AR
الغرض من هذا البحث هو دراسة المقاسات الغامرة من النمط GP- و إعطاء بعض من هذه الخواص.
كذلك برهنا : 1.
إذا كان كل مقاس R- أيمن بسيط غامر من النمط GP- و R حلقة قابلة للانعكاس (reversible), فإن R حلقة منتظمة ضعيفة من النمط π-. 2.
لتكن R حلقة منتظمة ضعيفة, حلقة كوازي - ديو اليمنى, و أن كل مقاس R- أيمن منفرد بسيط غامر من النمط GP-, فإن R حلقة منتظمة من النمط π-.
Abstract EN
The purpose of this paper is to study GP-injective modules and give some of it is properties.
Also, we proved : (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly π-regular.
(2) Let R be a right weakly regular, right quasi-duo ring, if every simple singular right R-module are GP-injective, then R is π-regular.
American Psychological Association (APA)
Mahmud, Raida Dawud& Abd al-Jabbar, Abd Allah M.. 2007. On GP-injectivity with some types of rings. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah،Vol. 19, no. 2, pp.57-63.
https://search.emarefa.net/detail/BIM-339828
Modern Language Association (MLA)
Mahmud, Raida Dawud& Abd al-Jabbar, Abd Allah M.. On GP-injectivity with some types of rings. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah Vol. 19, no. 2 (2007), pp.57-63.
https://search.emarefa.net/detail/BIM-339828
American Medical Association (AMA)
Mahmud, Raida Dawud& Abd al-Jabbar, Abd Allah M.. On GP-injectivity with some types of rings. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah. 2007. Vol. 19, no. 2, pp.57-63.
https://search.emarefa.net/detail/BIM-339828
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 63
Record ID
BIM-339828