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Browsing by Author "Péresse, Y."
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A classification of disjoint unions of two or three copies of the free monogenic semigroup
Abu-Ghazalh, N.; Mitchell, J. D.; Péresse, Y.; Ruškuc, N. (2015-08-01)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 nine semigroups which are the union of three ... -
Maximal subsemigroups of the semigroup of all mappings on an infinite set
East, James; Mitchell, James D.; Péresse, Y. (2014-11-18)In this paper we classify the maximal subsemigroups of the full transformation semigroup ΩΩ, which consists of all mappings on the infinite set Ω, containing certain subgroups of the symmetric group Sym(Ω) on Ω. In 1965 ...