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math.GRJul 24, 2013
2
citations (OpenAlex)
authors
  • Alan J. Cain
  • Victor Maltcev
institutions
  • Centro de Matemática
  • Universidade do Porto
  • University of St Andrews
arXiv abstractPDF
paper

A simple non-bisimple congruence-free finitely presented monoid

arXiv:1307.6580 · doi:10.1007/s00233-014-9607-y

Abstract

We exhibit an example of a finitely presented monoid that is congruence-free and simple but not bisimple.

5 pages

References in corpus (3)

  • The R- and L-orders of the Thompson-Higman monoid M_{k,1} and their complexity
  • The Thompson-Higman monoids M_{k,i}: the J-order, the D-relation, and their complexity
  • A countable family of finitely presented infinite congruence-free monoids
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