Morita equivalence for partially ordered monoids and po-\(\Gamma\)-semigroups with unities

• Дата: 2018
• Автори: Gupta, Sugato, Sardar, Sujit Kumar
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Morita equivalence for pomonoids; Morita invariant; Morita context; Po-\(\Gamma\)-semigroup; 20M50; 06F05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1058
• Назва журналу: Algebra and Discrete Mathematics

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...