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Abstract

<jats:p>UDC 512.53 We study  dimonoids, i.e., algebraic structures with  two associative binary operations satisfying a given system of axioms. We analyze the properties of dual dimonoids. In the class of non-commutative dimonoids, we construct numerous Abelian, non-Abelian, and rectangular dimonoids. The structure of these objects is analyzed, their automorphism groups and halos are computed.</jats:p>

Keywords

dimonoids 51253 study  algebraic structures

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