Classification of finite commutative semigroups for which the inverse monoid of local automorphisms is permutable.

DOI10.1007/S11253-012-0638-9zbMath1264.20066OpenAlexW2021163240MaRDI QIDQ1933324

V. D. Derech

Publication date: 23 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0638-9

zbMATH Keywords

congruencesinverse semigroupslocal automorphismsfinite commutative semigroupspermutable semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Subalgebras, congruence relations (08A30) Inverse semigroups (20M18)

Related Items (4)

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

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• 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
• Construction of Trees and Commutative Archimedean Semigroups
• Inverse semigroups with certain types of partial automorphism monoids
• On decompositions of a commutative semigroup

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