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

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

2005-03-06

arxiv.org/abs/math/0503116v1

Studia Sci. Math. Hungarica vol.44 (2007), 131-146

Mathematics

Rings and Algebras

17 pages

Scientific paper

10.1556/SScMath.2006.1008

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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