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AL-Rafidain Journal of Computer Sciences and Mathematics

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On Generalized Simple Singular AP-Injective Rings

    Raida D. Mahmood Husam Q. Mohammad

AL-Rafidain Journal of Computer Sciences and Mathematics, 2012, Volume 9, Issue 1, Pages 175-180
10.33899/csmj.2012.163681

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Abstract

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.
 
Keywords:
    AP-injective Rings weakly continuous rings socle of R Von Neumann regular rings
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(2012). On Generalized Simple Singular AP-Injective Rings. AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 175-180. doi: 10.33899/csmj.2012.163681
Raida D. Mahmood; Husam Q. Mohammad. "On Generalized Simple Singular AP-Injective Rings". AL-Rafidain Journal of Computer Sciences and Mathematics, 9, 1, 2012, 175-180. doi: 10.33899/csmj.2012.163681
(2012). 'On Generalized Simple Singular AP-Injective Rings', AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), pp. 175-180. doi: 10.33899/csmj.2012.163681
On Generalized Simple Singular AP-Injective Rings. AL-Rafidain Journal of Computer Sciences and Mathematics, 2012; 9(1): 175-180. doi: 10.33899/csmj.2012.163681
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