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math.GRNov 11, 2008
12
citations (OpenAlex)
authors
  • David Easdown
  • Mark Sapir
  • Michael Volkov
institutions
  • The University of Sydney
  • Vanderbilt University
arXiv abstractPDF
paper

Periodic elements of the free idempotent generated semigroup on a biordered set

arXiv:0811.1789 · doi:10.1142/S0218196710005583

Abstract

We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup.

Cited by in corpus (8)

  • Maximal subgroups of free idempotent generated semigroups over the full transformation monoid
  • Enumeration of idempotents in diagram semigroups and algebras
  • Maximal subgroups of free idempotent generated semigroups over the full linear monoid
  • The minimal number of generators of a finite semigroup
  • Subgroups of free idempotent generated semigroups: full linear monoid
  • On regularity and the word problem for free idempotent generated semigroups
  • Inductive groupoids and cross-connections of regular semigroups
  • On Maximal Subgroups of Free Idempotent Generated Semigroups
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