Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2013; 28(2): 225-229

Printed April 1, 2013

https://doi.org/10.4134/CKMS.2013.28.2.225

Copyright © The Korean Mathematical Society.

On kernel of ordered semigroups -- A corrigendum

Niovi Kehayopulu and Michael Tsingelis

University of Athens, School of Science and Technology

Abstract

According to the paper in [3], the kernel of an ordered semigroup $S$ is a completely regular subsemigroup of $S$. In this note we show that the kernel of an ordered semigroup $S$ is not a completely regular subsemigroup of $S$, in general.

Keywords: kernel, simple, left (right) regular, regular, completely regular ordered semigroup, left (right) ideal, ideal