Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 1999; 14(4): 687-691

Printed December 1, 1999

Copyright © The Korean Mathematical Society.

Characterizations of Regular $po$-Semigroups

Sang-Keun Lee, Seong-Gon Kang

Gyeongsang National University, Gyeongsang National University

Abstract

The first author ([4]) gave the ideal-theoretical characterization of the regular $po$-semigroup. In this paper we give several other ideal-theoretical characterizations of the regular $po$-semigroups.

Keywords: $po$-semigroup, regular, ideal, left ideal, right ideal, quasi-ideal, bi-ideal

MSC numbers: 06F05