Semigroups with Boolean congruence lattices

DOI10.1007/BF01540521zbMath0623.20050MaRDI QIDQ1091480

Karl Auinger

Publication date: 1987

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178335

zbMATH Keywords

inflationcongruence latticesectionally complementedcompletely semisimple semigroupsBooleanrelatively complementedglobally idempotent semigroupscomplemented modular

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Representation theory of lattices (06B15) Complemented lattices, orthocomplemented lattices and posets (06C15) Mappings of semigroups (20M15)

Related Items (3)

Semigroups with complemented congruence lattices ⋮ Semigroups and their lattice of congruences. II ⋮ Semigroups for which all homomorphic images have complemented lattice of congruences

Cites Work

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• Semigroups and their lattice of congruences
• Semigroups with complemented congruence lattices
• Semilattices whose structure lattice is distributive
• Semilattices of groups with distributive congruence lattice
• Semigroups whose lattice of congruences is Boolean
• Homomorphisms and subdirect decompositions of semigroups
• Bands with distributive congruence lattice

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