English

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

Rings and Algebras 2015-01-27 v1 General Mathematics

Abstract

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

Keywords

Cite

@article{arxiv.math/0503116,
  title  = {Representations of $(2,n)$-semigroups by multiplace functions},
  author = {Wieslaw A. Dudek and Valentin S. Trokhimenko},
  journal= {arXiv preprint arXiv:math/0503116},
  year   = {2015}
}

Comments

17 pages