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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (76), 2014/

The endomorphism semigroup of a free dimonoid of rank 1

Authors: Yurii V. Zhuchok

Abstract

We describe all endomorphisms of a free dimonoid of rank 1 and construct a semigroup which is isomorphic to the endomorphism semigroup of this free dimonoid. Also, we give an abstract characteristic for the endomorphism semigroup of a free dimonoid of rank 1.

Kyiv Taras Shevchenko National University
Department of Mechanics and Mathematics
Volodymyrska str., 64, 01033 Kyiv
Ukraine
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