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.
Niovi Kehayopulu and Michael Tsingelis
University of Athens, School of Science and Technology
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
1999; 14(4): 687-691
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