M-SYSTEM AND N-SYSTEM IN PO-SEMIGROUPS

  • Lee, Sang-Keun (Department of Mathematics College of Education Gyeongsang National University)
  • Published : 2003.12.31

Abstract

Xie and Wu introduced an m-system in a po-semigroup. Kehayopulu gave characterizations of weakly prime ideals of po-semigroups and Lee and Kwon add two characterizations for weakly prime ideals. In this paper, we give a characterization of weakly prime ideals and a characterization of weakly semi-prime ideals in po-semigroups using m-system and n-system, respectively

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