Right subdirectly irreducible completely 0-simple semigroups and uniform acts over rectangular bands
Year: 2019
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Sedaghatjoo, Mojtaba, Roueentan, Mohammad
Institution: Persian Gulf University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2908763777