Representations of $(2,n)$ -semigroups by multiplace functions

preprint2005arXivOpen access

We describe the representations of $(2,n)$ -semigroups, i.e. groupoids with $n$ binary associative operations, by partial $n$ -place functions and prove that any such representation is a union of some family of representations induced by Schein's determining pairs.

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Representations of $(2,n)$ -semigroups by multiplace functions

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Representations of (2,n)(2,n)(2,n)-semigroups by multiplace functions

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Representations of $(2,n)$ -semigroups by multiplace functions