대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제37권2호
  • /
  • Pages.217-227
  • /
  • 2000
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ON RIGHT QUASI-DUO RINGS WHICH ARE II-REGULAR

  • Kim, Nam-Kyun (Department of Mathematics, Kyung Hee University) ;
  • Lee, Yang (Department of Mathematics Education, Pusan National University)
  • 발행 : 2000.05.01
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초록

This paper is motivated by the results in [2], [10], [13] and [19]. We study some properties of generalizations of commutative rings and relations between them. We also show that for a right quasi-duo right weakly ${\pi}-regular$ ring R, R is an (S,2)-ring if and only if every idempotent in R is a sum of two units in R, which gives a generalization of [2, Theorem 4] on right quasi-duo rings. Moreover we find a condition which is equivalent to the strongly ${\pi}-regularity$ of an abelian right quasi-duo ring.

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참고문헌

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