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ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1998; 13(1): 1-6
Printed March 1, 1998
Copyright © The Korean Mathematical Society.
On Left Regular $po$-Semigroups
Sang Keun Lee, Jae Hong Jung
Gyeongsang National University, Gyeongsang National University
The paper refers to ordered semigroups in which $x^2(x \in S)$ are left ideal elements. We mainly show that this $po-$semigroup is left regular if and only if $S$ is a union of left simple subsemigroups of $S.$
Keywords: $poe-$semigroup, $po-$semigroup, left ideal, left regular, semiprime, left simple, right congruence
MSC numbers: 03G25, 06F35
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