The Minimal Degree of a Finite Inverse Semigroup

DOI10.2307/2154068zbMath0770.20029OpenAlexW4236837559MaRDI QIDQ4015896

Boris M. Schein

Publication date: 7 December 1992

Full work available at URL: https://doi.org/10.2307/2154068

zbMATH Keywords

finite inverse semigroupsminimal degreefaithful representationsjoin-irreducible elementsnumbers of idempotentsone-to-one partial transformationsjoin-irreducible \(\mathcal D\)-classes

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (5)

On the minimal faithful degree of Rhodes semisimple semigroups ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups ⋮ Semitransitive subsemigroups of the symmetric inverse semigroups. ⋮ Representations of inverse semigroups in complete atomistic inverse meet-semigroups ⋮ Transformation Representations of Sandwich Semigroups

Cites Work

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• Noble inverse semigroups with bisimple core
• The minimal faithful degree of a fundamental inverse semigroup

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