On congruences of \({\mathcal G}_ X\)-normal semigroups

DOI10.1007/BF02574255zbMath0727.20043OpenAlexW2913660594MaRDI QIDQ803290

Steven Seif, Inessa Levi

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/135099

zbMATH Keywords

symmetric groupdefectsdistributive latticesemigroup of transformationsgroup congruenceslattice of congruencesinjective transformations\({\mathcal G}_ X\)-normal semigroupcancellative congruences

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Structure and representation theory of distributive lattices (06D05) Subalgebras, congruence relations (08A30) Mappings of semigroups (20M15)

Related Items (5)

Normal subsemigroups of finite transformation semigroups ⋮ Injective endomorphisms of \({\mathcal G}_ X\)-normal semigroups: Infinite defects ⋮ Range sets and partition sets in connection with congruences and algebraic invariants ⋮ On properties of group closures of one-to-one transformations ⋮ Normal semigroups of partial one-to-one transformations. II

Cites Work

• Completely simple congruences on Croisot-Teissier semigroups
• The lattice of congruences on a Baer-Levi semigroup
• Regular congruences on Croisot-Teissier and Baer-Levi semigroups
• Automorphisms of normal transformation semigroups
• Normal semigroups of one-to-one transformations
• The semigroup of one-to-one transformations with finite defects
• Concerning congruences on symmetric inverse semigroups
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