P-Regular and P-Local Rings
Publish place: The Journal of Algebra and Related Topics، Vol: 9، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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JR_JART-9-1_001
تاریخ نمایه سازی: 31 تیر 1403
Abstract:
This paper is a continuation of study rings relative to rightideal, where we study the concepts of regular and local ringsrelative to right ideal. We give some relations between P-local(P-regular) and local (regular) rings. New characterizationobtained include necessary and sufficient conditions of a ring Rto be regular, local ring in terms P-regular, P-local ofmatrices ring M_{۲}(R). Also, We proved that every ring is localrelative to any maximal right ideal of it.
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Authors
H. Hakmi
Department of Mathematics Faculty of Sciences Damascus University, Syria