Fundamental order relations on inverse semigroups and on their generalizations

DOI10.1007/BF02572556zbMath0456.20044OpenAlexW2048548453MaRDI QIDQ1150444

Simon M. Goberstein

Publication date: 1980

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134454

zbMATH Keywords

completely simple semigroupspartial transformationsgeneralized inverse semigroupsnormal bands of groupsright inverse semigroupsfundamental order relations on semigroupfundamental orders on symmetric semigroupsstable orders on inverse semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Ordered semigroups and monoids (06F05) Mappings of semigroups (20M15) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (6)

Inverse semigroups all of whose proper homomorphic images are groups ⋮ On one class of factorizable fundamental inverse monoids. ⋮ On the modularity of the lattice of fundamental orders on a semilattice ⋮ Stable quasiorderings on some permutable inverse monoids. ⋮ Fundamental preorders and partial orders on completely (0-) simple semigroups ⋮ Semigroups and their lattice of congruences

Cites Work

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• The structure of idempotent semigroups. I
• Regularity of the wreath product of monoids
• Order relations on symmetric semigroups of transformations and on their homomorphic images
• Amenably ordered inverse semigroups
• Regular semigroups whose idempotents satisfy permutation identities
• Relation algebras and function semigroups
• All varieties of bands
• Orthodox semigroups whose idempotents satisfy a certain identity
• An example of two non-isomorphic finite subdirectly irreducible bands generating the same variety of bands
• Congruences on generalized inverse semigroups
• Bisimple semigroups with idempotents well-ordered
• Note on idempotent semigroups, II
• CONGRUENCE-FREE INVERSE SEMIGROUPS
• Naturally ordered bands
• UNIFORM SEMILATTICES AND BISIMPLE INVERSE SEMIGROUPS
• FUNDAMENTAL INVERSE SEMIGROUPS
• The Maximum Idempotent-Separating Congruence on an Inverse Semigroup
• A Class of d-Simple Semigroups

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