Classification of finite commutative semigroups for which the inverse monoid of local automorphisms is a \(\Delta\)-semigroup

DOI10.1007/s11253-015-1130-0zbMath1373.20075OpenAlexW3049114743MaRDI QIDQ1676267

V. D. Derech

Publication date: 6 November 2017

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

Full work available at URL: https://doi.org/10.1007/s11253-015-1130-0

zbMATH Keywords

local automorphismfinite commutative semigroups\(\Delta\)-semigroup

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Commutative semigroups (20M14) Regular semigroups (20M17)

Related Items (2)

Complete classification of finite semigroups for which the inverse monoid of local automorphisms is a \(\varDelta\)-semigroup ⋮ Classification of finite nilsemigroups for which the inverse monoid of local automorphisms is a permutable semigroup

Cites Work

• Weakly exponential \(\Delta\)-semigroups
• \(RC\)-commutative \(\Delta\)-semigroups
• On the structure of \((m,n)\)-commutative semigroups
• Semilattice decomposition of \(n_{(2)}\)-permutable semigroups
• Permutability of congruences on commutative semigroups
• Exponential \(\Delta\)-semigroups
• Completely semisimple inverse \(\Delta\) - semigroups admitting principal series
• \(RGC_n\)-commutative \(\Delta\)-semigroups
• Permutative semigroups whose congruences form a chain.
• Classification of finite commutative semigroups for which the inverse monoid of local automorphisms is permutable.
• Notes on a problem on weakly exponential \Delta-semigroups
• Congruences of a Permutable Inverse Semigroup of Finite Rank
• Commutative semigroups whose lattice of congruences is a chain
• The monoid of all injective order preserving partial transformations on a finite chain.
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