Direct sums and refinement |
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Authors: | Theodore G Faticoni |
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Institution: | Department of Mathematics , Fordham University , Bronx, New York, 10458 |
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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. |
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Keywords: | Semigroups of transformations Pseudovarieties |
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