Gupta, Sugato; Sardar, Sujit Kumar Morita equivalence for partially ordered monoids and po-\(\Gamma\)-semigroups with unities. (English) Zbl 1311.06020 Algebra Discrete Math. 18, No. 2, 234-249 (2014). Summary: 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. MSC: 06F99 Ordered structures 06F05 Ordered semigroups and monoids Keywords:Morita equivalences for pomonoids; Morita invariants; Morita contexts; po-\(\Gamma\)-semigroups; partially ordered monoids PDFBibTeX XMLCite \textit{S. Gupta} and \textit{S. K. Sardar}, Algebra Discrete Math. 18, No. 2, 234--249 (2014; Zbl 1311.06020)