Right subdirectly irreducible completely 0-simple semigroups and uniform acts over rectangular bands
Rings and Algebras
2019-01-11 v1
Abstract
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 subgroups. On the other hand we prove that right irreducible completely 0-simple semigroups are groups for which nontrivial subgroups have nontrivial intersection. Ultimately, we characterize the class of uniform acts as an overclass of subdirectly irreducible acts over rectangular bands.
Cite
@article{arxiv.1901.03197,
title = {Right subdirectly irreducible completely 0-simple semigroups and uniform acts over rectangular bands},
author = {Mojtaba Sedaghatjoo and Mohammad Roueentan},
journal= {arXiv preprint arXiv:1901.03197},
year = {2019}
}
Comments
10 pages