PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET

DOI10.1142/S0218196710005583zbMath1200.20041arXiv0811.1789MaRDI QIDQ3561119

David Easdown, Mark V. Sapir, Mikhail V. Volkov

Publication date: 25 May 2010

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1789

zbMATH Keywords

idempotentsbiordered setssubgroupsfree idempotent generated semigroupsperiodic elements

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05)

Related Items (6)

Subgroups of free idempotent generated semigroups need not be free. ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ The minimal number of generators of a finite semigroup. ⋮ On maximal subgroups of free idempotent generated semigroups. ⋮ Free idempotent generated semigroups over bands and biordered sets with trivial products ⋮ Maximal subgroups of free idempotent generated semigroups over the full linear monoid

Cites Work

• Biordered sets come from semigroups
• Subgroups of free idempotent generated regular semigroups
• The biorder on the partial groupoid of idempotents of a semigroup
• Idempotent-generated completely O-simple semigroups
• Subgroups of free idempotent generated semigroups need not be free.
• SUBGROUPS OF THE FREE SEMIGROUP ON A BIORDERED SET IN WHICH PRINCIPAL IDEALS ARE SINGLETONS

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