Homomorphisms of extensions of a semigroup within a variety |
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Authors: | Václav Koubek |
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Institution: | (1) Faculty of Mathematics and Physics, Charles University, Prague, Czechoslovakia |
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Abstract: | LetV be a semigroup variety containing all commutative semigroups such that the law of exponents (xy)
n
=xnyn fails inV for everyn > 1. For every semigroupS V such that the reflection of the semigroup obtained fromS by an adding unity has only one idempotent there exists a semigroupT
V extendingS without non-trivial endomorphisms. In more general, the full subcategory ofV formed by all extensions ofS withinV is universal.Presented by B. M. Schein. |
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Keywords: | |
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