Extensions of homomorphisms to dense extensions of semigroups |
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Authors: | Norman R Reilly |
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Institution: | (1) Simon Fraser University, Burnaby 2, British Columbia, Canada |
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Abstract: | Gluskin 2] has shown that if α is an isomorphism of a weakly reductive semigroup S onto a semigroup T, if V is a dense extension
of S and T is densely embedded in W then α extends uniquely to an isomorphism of V into W. Here we consider the problem of
extending epimorphisms and as a consequence of a few simple observations obtain as the main theorem a homomorphism of Ω(S),
for any semisimple semigroup S, into the product of the translational hulls of the principal factors of S. A few consequences
are considered. |
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Keywords: | |
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