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This article concerns a property of Abelain π-regular rings. A ring R shall be called right quasi-DR if for every a ∈ R there exists n ≥ 1 such that C(R)an ⊆ aR, where C(R) means the monoid of regular elements in R. The relations between the right quasi-DR property and near ring theoretic properties are investigated. We next show that the class of right quasi-DR rings is quite large.
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참고문헌 (13)
참고문헌 신청
J. L. Dorroh / 1932 / Concerning adjunctins to algebras / Bull. Amer. Math. Soc 38:85~88
E. H. Feller / 1958 / Properties of primary noncommutative rings / Trans. Amer. Math. Soc 89:79~91
K.R. Goodearl / 1979 / Von Neumann Regular Rings / Pitman
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167:37~52
C. Huh / 2004 / Examples of strongly π-regular rings / J. Pure Appl. Algebra 189:195~210
E. H. Feller / 1958 / Properties of primary noncommutative rings / Trans. Amer. Math. Soc 89:79~91
K.R. Goodearl / 1979 / Von Neumann Regular Rings / Pitman
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167:37~52
C. Huh / 2004 / Examples of strongly π-regular rings / J. Pure Appl. Algebra 189:195~210
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