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Semigroups of constant maps

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

Boris M. Schein
Boris M. Schein
Affiliation:
Department of Mathematical SciencesUniversity of ArkansasFayetteville, Arkansas 72701, U.S.A.
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Abstract

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In this paper “a map” denotes an arbitrary (everywhere defined, or partial, or even multi-valued) mapping. A map is constant if any two elements belonging to its domain have precisely the same images under this map. We characterize those semigroups which can be isomorphic to semigroups of constant maps or to involuted semigroups of constant maps.

Keywords

semigroupinvoluted semigroupsemigroup of binary relationsconstant mappings.

MSC classification

Secondary: 20M20: Semigroups of transformations, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 2 , October 1985 , pp. 241 - 252
Copyright
Copyright © Australian Mathematical Society 1985

References

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