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

Mathematics

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