Abstract

In this paper we study the question if the Brandt semigroup can be a variant of another semigroup or not. For a semigroup which does not contain a bicyclic subsemigroup we proved that a variant of such semigroup is not a Brandt semigroup. For an infinite semigroup which contains a bicyclic subsemigroup a variant with a sandwich element from this bicyclic subsemigroup is not a Brandt semigroup.

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