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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     author = {Sugato Gupta and Sujit Kumar Sardar},
     title = {Morita equivalence for partially ordered monoids and po-$\Gamma$-semigroups with unities},
     journal = {Algebra and discrete mathematics},
     pages = {234--249},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a5/}
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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/