4 papers
Chain conditions on (Rees) congruences of S-acts
Roghaieh Khosravi, Mohammad Roueentan
In this paper, we introduce (Rees) artinian S-acts as those acts that satisfy the descending chain condition on their (Rees) congruences. Then, we show that artinian S-acts are tho…
On Cogenerating and Finitely cogenerated S-acts
Roghaieh Khosravi, Xingliang Liang, Mohammad Roueentan
In this paper, cogenerating classes of -acts are introduced as those that can be used to cogenerate -acts in an appropriate sense. Next, finitely cogenerated -acts are int…
Samira Hosseinzadeh Alikhalaji, Mojtaba Sedaghatjoo and Mohammad Roueentan
Samira Hosseinzadeh Alikhalaji, Mojtaba Sedaghatjoo, Mohammad Roueentan
In this paper we investigate right uniform notion on some classes of semigroups. The main objective of this paper is realizing the structure of regular right uniform semigroups whi…
Right subdirectly irreducible completely 0-simple semigroups and uniform acts over rectangular bands
Mojtaba Sedaghatjoo, Mohammad Roueentan
The aim of this paper is characterizing right subdirectly irreducible completely 0-simple semigroups. We prove that such semigroups are indeed groups with least nontrivial subgroup…