Gamma-semigroups with Unities and Morita Equivalence for Monoids
Keywords:
$\Gamma$-semigroup, Morita equivalence for monoids, Morita invariant.Abstract
In this paper we show that the left operator and right operator semi groups of a Γ-semigroup with unities are Morita equivalent monoids. It is also deduced that if L and R are two Morita equivalent monoids then a Γ-semigroup with unities can be constructed such that its left and right operator monoids are isomorphic to L and R respectively. This result is used to obtain some properties of monoids which remain invariant under Morita equivalence.Â
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