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P-Regular and P-Local Rings | ||
Journal of Algebra and Related Topics | ||
دوره 9، شماره 1، شهریور 2021، صفحه 1-19 اصل مقاله (293.36 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2021.17609.1230 | ||
نویسنده | ||
H. Ibrahim Hakmi* | ||
Department of Mathematics Faculty of Sciences Damascus University, Syria | ||
چکیده | ||
This paper is a continuation of study rings relative to right ideal, where we study the concepts of regular and local rings relative to right ideal. We give some relations between $P-$local ($P-$regular) and local (regular) rings. New characterization obtained include necessary and sufficient conditions of a ring $R$ to be regular, local ring in terms $P-$regular, $P-$local of matrices ring $M_{2}(R)$. Also, We proved that every ring is local relative to any maximal right ideal of it. | ||
کلیدواژهها | ||
P-idempotents؛ Regular and P-regular rings؛ Local and P-local rings؛ semi-potent rings | ||
آمار تعداد مشاهده مقاله: 792 تعداد دریافت فایل اصل مقاله: 841 |