### A structure theorem for left restriction semigroups of type F

#### 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:**2018-01-03

**How to 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), Article ID 2 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.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

Editorial Office: office@scik.org

Copyright ©2020 SCIK Publishing Corporation