Characterization of the semilattice of idempotents of a finite-rank permutable inverse semigroup with zero

DOI10.1007/S11253-008-0011-1zbMath1164.20360OpenAlexW1973438360MaRDI QIDQ3607270

V. D. Derech

Publication date: 28 February 2009

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-008-0011-1

zbMATH Keywords

idempotentscongruencesrank functionssemilatticespermutable inverse semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Inverse semigroups (20M18)

Related Items (6)

Finite structurally uniform groups and commutative nilsemigroups ⋮ Classification of finite commutative semigroups for which the inverse monoid of local automorphisms is permutable. ⋮ Complete classification of finite semigroups for which the inverse monoid of local automorphisms is a permutable semigroup ⋮ Classification of finite nilsemigroups for which the inverse monoid of local automorphisms is a permutable semigroup ⋮ Structure of a finite commutative inverse semigroup and a finite band for which the inverse monoid of local automorphisms is permutable. ⋮ Stable quasiorderings on some permutable inverse monoids.

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