On GP-InjectivityWith Some Types of Rings
Abstract<br /> The purpose of this paper is to study GP-injective modules and give some of it is properties. Also, we proved:<br /> (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly -regular.<br /> (2) Let R be a right weakly re...
Main Authors: | , |
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Format: | Article |
Language: | Arabic |
Published: |
College of Education for Pure Sciences
2007-03-01
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Series: | مجلة التربية والعلم |
Subjects: | |
Online Access: | https://edusj.mosuljournals.com/article_5792_b7158de1d27144a1bf723878f77398d5.pdf |
Summary: | Abstract<br /> The purpose of this paper is to study GP-injective modules and give some of it is properties. Also, we proved:<br /> (1) If every simple right R-module is GP-injective, and R is reversible ring, then R is a right weakly -regular.<br /> (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 -regular. |
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ISSN: | 1812-125X 2664-2530 |