Geodesic
On some characterizations of regular and potent rings relative to right ideals
Novi Sad Journal of Mathematics, Tome 48 (2018) no. 1.

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In this paper we study the notion of regular rings relative to right ideals, and we give another characterization of these rings. Also, we introduce the concept of an annihilator relative to a right ideal. Basic properties of this concept are proved. New results obtained include necessary and sufficient conditions for a ring to be regular (potent) relative to right ideal.
Publié le :
DOI : 10.30755/NSJOM.04048
Classification : 16E50, 16E70, 16D40, 16D50
Keywords: regular ring, regular ring relative to right ideal, annihilator, potent ring 
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     author = {Hamza Hakmi},
     title = {On some characterizations of regular and potent rings relative to right ideals},
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Hamza Hakmi. On some characterizations of regular and potent rings relative to right ideals. Novi Sad Journal of Mathematics, Tome 48 (2018) no. 1. doi : 10.30755/NSJOM.04048. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.04048/

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