Potentially right simple  π-regular semigroups are right groups

Kozhukhov, I.B.; Kozhukhova, Yu.I.

J. Semigroup Theory Appl. 2014 (2014), Article ID 4

Potentially right simple π-regular semigroups are right groups

I.B. Kozhukhov, Yu.I. Kozhukhova

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Abstract

We prove that every π-regular semigroup such that all its elements are divided by one another on the left in potential sense, is a right group.

Published: 25 September 2014
Volume: 2014 (2014)
License: CC BY 3.0

Copyright © 2014 I.B. Kozhukhov, Yu.I. Kozhukhova. 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

I. B. Kozhukhov, Y. I. Kozhukhova, Potentially right simple π-regular semigroups are right groups, J. Semigroup Theory Appl. 2014 (2014), 4.

BibTeX

@article{Kozhukhov2014,
  author  = {Kozhukhov, I.B. and Kozhukhova, Yu.I.},
  title   = {Potentially right simple  π-regular semigroups are right groups},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {4},
  doi     = {}
}