## N. Kehayopulu, M. Tsingelis

## A note on pseudocongruences in
semigroups

## (Lobachevskii Journal of Mathematics, Vol.11, pp.19-21)

In this short note
we introduce
the concept of pseudocongruence in semigroups and we prove
that each
pseudocongruence on a semigroup $S$ induces a congruence
$\sigma$ on
$S$ such that $S/\sigma$ is an ordered semigroup

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