@article{Nouri_Mohammadzadeh Saany_2022, title={(Completely) weak simple semigroups and (Completely) weak 0-simple semigroups}, volume={41}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4050}, DOI={10.22199/issn.0717-6279-4050}, abstractNote={<p>The structure theorems for (Completely) simple semigroups and (Completely) 0-simple semigroups have proved a powerful tool in the investigation of such semigroups. In this paper, first of all, we define weak simple semigroups and weak 0-simple semigroups and compare them with simple semigroups and 0-simple semigroups respectively.</p>
<p>Then we give examples of these semigroups and describe the structure of them. Also, we define completely weak simple semigroup and completely weak 0-simple semigroup. Finally, by using Greenâ€™s equivalences, we prove some results and give equivalences, for these semigroups.</p>}, number={1}, journal={Proyecciones (Antofagasta, On line)}, author={Nouri, Leila and Mohammadzadeh Saany, Hossein}, year={2022}, month={Jan.}, pages={83-99} }