Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities

• Published in: Algebra and Discrete Mathematics
• Date: 2014
• Main Authors: Gupta, S., Sardar, S.K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153332
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities / S. Gupta, S.K. Sardar // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 234–249. — Бібліогр.: 23 назв. — англ.

We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right operator pomonoids of A are Pos-isomorphic to L and...