Structure of a finite commutative inverse semigroup and a finite band for which the inverse monoid of local automorphisms is permutable.

DOI10.1007/S11253-012-0586-4zbMath1261.20073OpenAlexW2059399137MaRDI QIDQ1759986

V. D. Derech

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0586-4

zbMATH Keywords

congruencesinverse semigroupslinearly ordered semilatticeslocal automorphismspermutable semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Inverse semigroups (20M18)

Related Items (4)

Finite structurally uniform groups and commutative nilsemigroups ⋮ Classification of finite structurally uniform nilsemigroups ⋮ 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

Cites Work

• Unnamed Item
• Classical finite transformation semigroups. An introduction.
• Permutability of congruences on commutative semigroups
• Characterization of the semilattice of idempotents of a finite-rank permutable inverse semigroup with zero
• Congruences of a Permutable Inverse Semigroup of Finite Rank
• Inverse semigroups with certain types of partial automorphism monoids

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