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On uniform acts over semigroups |
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| Authors: | Mohammad?Roueentan,Mojtaba?Sedaghatjoo mailto:Sedaghat@pgu.ac.ir" title=" Sedaghat@pgu.ac.ir" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.College of Engineering,Lamerd Higher Education Center,Lamerd,Iran;2.Department of Mathematics, College of Sciences,Persian Gulf University,Bushehr,Iran |
| Abstract: | The paper is devoted to the investigation of uniform acts over semigroups perceived as an overclass of subdirectly irreducible acts. We establish conditions for a uniform act to be subdirectly irreducible. In particular, we prove that uniform acts with two zeros are subdirectly irreducible. Ultimately we investigate monoids which are uniform as right acts over themselves and we describe regular monoids with this property. |
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