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arxiv: math/0503116 · v1 · pith:3CRONH3Qnew · submitted 2005-03-06 · 🧮 math.RA · math.GM

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

classification 🧮 math.RA math.GM
keywords representationsfunctionssemigroupsassociativebinarydescribedeterminingfamily
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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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