Complete classification of finite semigroups for which the inverse monoid of local automorphisms is a permutable semigroup

DOI10.1007/S11253-017-1330-XzbMath1490.20039OpenAlexW4255965540MaRDI QIDQ1729397

V. D. Derech

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1330-x

zbMATH Keywords

finite semigroupsinverse monoid of local automorphismspermutable semigroup

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Mappings of semigroups (20M15) Inverse semigroups (20M18)

Related Items (3)

Complete classification of finite semigroups for which the inverse monoid of local automorphisms is a \(\varDelta\)-semigroup ⋮ Finite structurally uniform groups and commutative nilsemigroups ⋮ Classification of finite structurally uniform nilsemigroups

Cites Work

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• Permutability of congruences on commutative semigroups
• 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.
• Classification of finite commutative semigroups for which the inverse monoid of local automorphisms is permutable.
• Characterization of the semilattice of idempotents of a finite-rank permutable inverse semigroup with zero
• Congruences of a Permutable Inverse Semigroup of Finite Rank
• Endliche Gruppen I

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