On GP-InjectivityWith Some Types of Rings | Zendy

Abdullah M. Abdul-Jabbar | Zendy; Raida Mahmood | Zendy

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On GP-InjectivityWith Some Types of Rings

Author(s) -

Abdullah M. Abdul-Jabbar,

Raida Mahmood

Publication year - 2007

Publication title -

mağallaẗ al-tarbiyaẗ wa-al-ʻilm

Language(s) - English

Resource type - Journals

eISSN - 2664-2530

pISSN - 1812-125X

DOI - 10.33899/edusj.2007.5792

Subject(s) - mathematics , injective function , simple (philosophy) , ring (chemistry) , simple module , injective module , von neumann regular ring , pure mathematics , combinatorics , discrete mathematics , chemistry , philosophy , organic chemistry , epistemology

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.

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