Geodesic
Morita equivalence for partially ordered monoids and po-$\Gamma$-semigroups with unities
Algebra and discrete mathematics, Tome 18 (2014) no. 2, pp. 234-249.

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We prove that operator pomonoids of a po-$\Gamma$-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if $L$ and $R$ are Morita equivalent pomonoids then a po-$\Gamma$-semigroup $A$ with unities can be constructed such that left and right operator pomonoids of $A$ are $Pos$-isomorphic to $L$ and $R$ respectively. Using this nice connection between po-$\Gamma$-semigroups and Morita equivalence for pomonoids we, in one hand, obtain some Morita invariants of pomonoids using the results of po-$\Gamma$-semigroups and on the other hand, some recent results of Morita theory of pomonoids are used to obtain some results of po-$\Gamma$-semigroups.
Keywords: Morita equivalence for pomonoids, Po-$\Gamma$-semigroup.
Mots-clés : Morita invariant, Morita context 
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Sugato Gupta; Sujit Kumar Sardar. Morita equivalence for partially ordered monoids and po-$\Gamma$-semigroups with unities. Algebra and discrete mathematics, Tome 18 (2014) no. 2, pp. 234-249. http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a5/

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