Kyungpook Mathematical Journal

  • 제45권2호
  • /
  • Pages.161-166
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  • 2005
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Generalized Transformation Semigroups Whose Sets of Quasi-ideals and Bi-ideals Coincide

  • Chinram, Ronnason (Department of Mathematics, Faculty of Science, Prince of Songkla University)
  • 투고 : 2003.08.13
  • 발행 : 2005.06.23
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초록

Let BQ be the class of all semigroups whose bi-ideals are quasi-ideals. It is known that regular semigroups, right [left] 0-simple semigroups and right [left] 0-simple semigroups belong to BQ. Every zero semigroup is clearly a member of this class. In this paper, we characterize when generalized full transformation semigroups and generalized Baer-Levi semigroups are in BQ in terms of the cardinalities of sets.

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참고문헌

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