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Journal of Semigroup Theory and Applications ISSN 2051-2937

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J. Semigroup Theory Appl. 2018 (2018), Article ID 4

Congruences on *-bisimple type A I-semigroups

R.U. Ndubuisi, U.I. Asibong-Ibe

PDF (270.7 KB) https://doi.org/10.28919/jsta/3547

Abstract

This paper studies congruences on a *-bisimple type A I-semigroup in the light of known results in the areas of inverse semigroups and type A ω-semigroups. It turns out that for a *-bisimple type A I-semigroup, we have the idempotent-separating congruence and the minimum cancellative monoid congruence.

Published
3 January 2018
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2018 R.U. Ndubuisi, U.I. Asibong-Ibe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

R. U. Ndubuisi, U. I. Asibong-Ibe, Congruences on *-bisimple type A I-semigroups, J. Semigroup Theory Appl. 2018 (2018), 4. https://doi.org/10.28919/jsta/3547

BibTeX
@article{Ndubuisi2018,
  author  = {Ndubuisi, R.U. and Asibong-Ibe, U.I.},
  title   = {Congruences on *-bisimple type A I-semigroups},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2018},
  year    = {2018},
  pages   = {4},
  doi     = {10.28919/jsta/3547}
}