A structure theorem for left restriction semigroups of type F

Ndubuisi, R.U.; Udoaka, O.G.

doi:10.28919/jsta/3513

J. Semigroup Theory Appl. 2018 (2018), Article ID 2

A structure theorem for left restriction semigroups of type F

R.U. Ndubuisi, O.G. Udoaka

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Abstract

A structure theorem for right adequate semigroups that are F-right abundant otherwise known as right adequate semigroups of type F was given by Cui and Guo. Here we obtain an analogous structure theorem for that of left restriction semigroups: a semigroup is a left restriction semigroup of type F if and only if it is isomorphic to some ℱ(𝑈,𝑌), where (𝑈,𝑌) is an ℱ-pair.

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

Copyright © 2018 R.U. Ndubuisi, O.G. Udoaka. 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, O. G. Udoaka, A structure theorem for left restriction semigroups of type F, J. Semigroup Theory Appl. 2018 (2018), 2. https://doi.org/10.28919/jsta/3513

BibTeX

@article{Ndubuisi2018,
  author  = {Ndubuisi, R.U. and Udoaka, O.G.},
  title   = {A structure theorem for left restriction semigroups of type F},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2018},
  year    = {2018},
  pages   = {2},
  doi     = {10.28919/jsta/3513}
}