Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON THE LEFT REGULAR po-Γ-SEMIGROUPS

  • Kwon, Young In (Department of Mathematics College of Education Gyeongsang National University) ;
  • Lee, Sang Keun (Department of Mathematics College of Education Gyeongsang National University)
  • Received : 1998.04.20
  • Published : 1998.09.15
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Abstract

We consider the ordered ${\Gamma}$-semigroups in which $x{\gamma}x(x{\in}M,{\gamma}{\in}{\Gamma})$ are left elements. We show that this $po-{\Gamma}$-semigroup is left regular if and only if M is a union of left simple sub-${\Gamma}$-semigroups of M.

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