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Semilattices of rectangular bands and groups of order two

Rings and Algebras 2013-01-08 v1

Authors: R. A. R. Monzo

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Abstract

We prove that a semigroup S is a semilattice of rectangular bands and groups of order two if and only if it satisfies the identity x = xxx and for all x,y in S, xyx is in the set {xyyx,yyxxy}.

Keywords

semigroup semilattice rectangular bands groups of order two algebraic identity semigroup theory

Cite

@article{arxiv.1301.0828,
  title  = {Semilattices of rectangular bands and groups of order two},
  author = {R. A. R. Monzo},
  journal= {arXiv preprint arXiv:1301.0828},
  year   = {2013}
}

Comments

9 pages