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Direct sums and refinement
Authors:Theodore G Faticoni
Institution:Department of Mathematics , Fordham University , Bronx, New York, 10458
Abstract:In this paper we present a division theorem for the pseudovariety of semigroups OP generated by all semigroups of orientation preserving full transformations on a finite chain, which is achieved by using a natural representation of a certain monoid of transformations of a set X as a monoid of transformations of a subset of X.
Keywords:Semigroups of transformations  Pseudovarieties
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