The tiling semigroups of one-dimensional periodic tilings

Dombi, Erzsebet and Gilbert, N.D. (2009) The tiling semigroups of one-dimensional periodic tilings. Journal of the Australian Mathematical Society, 87 (2). pp. 153-160. ISSN 1446-7887 (https://doi.org/10.1017/S144678870800075X)

Abstract

A one-dimensional tiling is a bi-infinite string on a finite alphabet, and its tiling semigroup is an inverse semigroup whose elements are marked finite substrings of the tiling. We characterize the structure of these semigroups in the periodic case, in which the tiling is obtained by repetition of a fixed primitive word.

ORCID iDs

Dombi, Erzsebet ORCID: https://orcid.org/0000-0001-7022-4868

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• Item metadata

  Item type:	Article
  ID code:	43420
  Dates:	Date Event October 2009 Published
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	10 Apr 2013 09:48
  Last modified:	11 Nov 2024 10:22
  URI:	https://strathprints.strath.ac.uk/id/eprint/43420