Free g-dimonoids are determined by their endomorphism semigroups
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Abstract
Abstract The problem of determinability for free algebras in a given variety was formulated by B.I. Plotkin in his lectures on universal algebraic geometry. It was solved for free groups by E. Formanek, and for free semigroups and free monoids by G. Mashevitsky and B.M. Schein. We solve the determinability problem for free g -dimonoids which generalize free semigroups.
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Authors: Anatolii V. Zhuchok, Yuliia V. Zhuchok
Institutions: University of Potsdam, University of Luhansk