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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