35 citations · 135 across the 28 of their papers we have counts for
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math.RA2015★ 23 cited
Computing finite semigroups
J. East, A. Egri-Nagy, J. D. Mitchell +1
Using a variant of Schreier's Theorem, and the theory of Green's relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite regular semigroup to that…
math.RA2013
A classification of disjoint unions of two or three copies of the free monogenic semigroup
N. Abu-Ghazalh, J. D. Mitchell, Y. Péresse +1
We prove that, up to isomorphism and anti-isomorphism, there are only two semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only ni…
math.RA2011★ 1 cited
Maximal subsemigroups of the semigroup of all mappings on an infinite set
J. East, J. D. Mitchell, Y. Péresse
In this paper we classify the maximal subsemigroups of the \emph{full transformation semigroup} , which consists of all mappings on the infinite set , containing certain su…