A note on automatic semigroups

Dombi, Erzsebet (2013) A note on automatic semigroups. Semigroup Forum, 86 (3). pp. 555-570. (https://doi.org/10.1007/s00233-012-9446-7)

Abstract

It is well known that for monoids and completely simple semigroups the property of being automatic does not depend on the choice of the semigroup generating set. In this paper we extend these results to semigroups satisfying the equality S=SS. As an immediate corollary of this result we obtain that for regular semigroups being automatic is invariant under the change of generators.

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• Item metadata

  Item type:	Article
  ID code:	46374
  Dates:	Date Event June 2013 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	20 Dec 2013 11:07
  Last modified:	08 Apr 2024 20:59
  Related URLs:	Scopus publication Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/46374