In this paper,we investigate unitπ regularity and strongly π regularity. We show that every corner ring eRe inherits the unit π regularity from a ring R. We also generalize some important characterizations of abelian regular rings to π regular rings and describe strongly π regular rings by virtue of group members.
机构:
Ovidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania
Acad Romana, Simion Stoilow Inst Math, Res Grp Project ID PCE 2011 1023, Bucharest 014700, RomaniaOvidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania
Ene, Viviana
Herzog, Juergen
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Univ Duisburg Essen, Fachbereich Math, D-45117 Essen, GermanyOvidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania
Herzog, Juergen
Madani, Sara Saeedi
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Inst Res Fundamental Sci IPM, Sch Math, Tehran, IranOvidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania