Semigroups and their lattice of congruences
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Publication:1050469
DOI10.1007/BF02572819zbMath0513.20047OpenAlexW4248926672MaRDI QIDQ1050469
Publication date: 1983
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/134591
surveyAbelian groupsregular semigroupsbandscommutative semigroupssemilatticesbisimple inverse semigroupsmodularityfull transformation semigroupschain conditionscongruence-free semigroupsClifford semigroupslattice of congruencesBaer-Levi semigroupsubdirectly irreducible semigroupscongruence-free inverse semigroupsgeneralized Brouwerianessgeneralized Bruck extensionnormal bands of groupssemilattice of simple semigroupsunion of complete modular lattices
General structure theory for semigroups (20M10) Representation theory of lattices (06B15) Mappings of semigroups (20M15)
Related Items (16)
Semigroups with complemented congruence lattices ⋮ Semigroups and their lattice of congruences. II ⋮ Semigroups with Boolean congruence lattices ⋮ Congruences on strong semilattices of regular simple semigroups ⋮ Characterizations of \(N(2,2, 0)\) algebras ⋮ On congruence lattices of nilsemigroups ⋮ Conditions of modularity of the congruence lattice of an act over a rectangular band ⋮ Ideal nil-extensions of semigroups with semimodular congruence lattices ⋮ Modularity of the lattice of congruences of a regular ω-semigroup ⋮ Congruences on ample semigroups ⋮ On Strongly Ordered Congruences and Decompositions of Ordered Semigroups ⋮ Unnamed Item ⋮ Modularity and distributivity of tolerance lattices of commutative inverse semigroups ⋮ Semimodularity of the congruence lattice on regular \(\omega\)-semigroups ⋮ Cancellable elements of the lattices of varieties of semigroups and epigroups ⋮ Unnamed Item
Cites Work
- Congruences on Brandt semigroups
- On finiteness conditions in semigroups
- A band whose congruence lattice has ACC or DCC is finite
- Semilattices having bialgebraic congruence lattices
- Pseudosimple commutative semigroups
- On semigroups with minimal or maximal condition on left congruences
- Fundamental order relations on inverse semigroups and on their generalizations
- Compatible extensions and subdirectly irreducible semigroups
- Congruence-free inverse semigroups
- Permutability of congruences on commutative semigroups
- Maximal right congruences on semigroups
- Semilattices whose structure lattice is distributive
- The lattice of congruences on a Baer-Levi semigroup
- Congruence-free regular semigroups with zero
- Exponential \(\Delta\)-semigroups
- On semigroups with maximal conditions
- Congruences on simple extensions of semigroups
- On the decomposition of rl-semigroups into groups
- Semimodularity in lattices of congruences
- Completely semisimple inverse \(\Delta\) - semigroups admitting principal series
- Congruence lattices of Rees matrix semigroups
- Semilattices of groups with distributive congruence lattice
- Modularity of the congruence lattice of a commutative cancellative semigroup
- Semigroups whose lattice of congruences is Boolean
- Right congruences in totally 0-simple semigroups
- Congruence lattices of semilattices
- Idempotent semigroups with distributive right congruence lattices
- Demi-groupes réguliers
- Homomorphisms and subdirect decompositions of semigroups
- Halbgruppen mit ausschließlich Reesschen Linkskongruenzen
- Subdirectly irreducible idempotent semigroups
- A remark concerning congruences on [0-bisimple inverse semigroups]
- Structure theorems for regular semigroups
- Finiteness of lattice of congruences on commutative semigroups
- Right inverse semigroups
- Congruences on simple regular ω-semigroups
- Bands with distributive congruence lattice
- Congruences on Bisimple Inverse Semigroups
- Congruence permutability for algebras with pseudocomplementation
- Direct products of monogenic semigroups
- Decompositions of the congruence lattice of a semigroup
- An embedding theorem for free inverse semigroups
- Congruence-free inverse semigroups with zero
- CONGRUENCE-FREE INVERSE SEMIGROUPS
- A NOTE ON CONGRUENCE-FREE INVERSE SEMIGROUPS
- Congruence-Free Inverse Semigroups
- The lattice of congruences on a band of groups
- Congruences on simple ω-semigroups
- Congruence Relations in Semi-Lattices
- Bisimple ω-Semigroups
- Chains of congruences on a completely 0-simple semigroup
- The lattice of congruences of locally cyclic semigroups
- Congruences on a bisimple ω-semigroup
- Relation of the Exact Transient Solution for a Line Source near an Interface between Two Fluids to Geometrical Acoustics
- Regular ω-semigroups
- Certain congruence and quotient lattices related to completely 0-simple and primitive regular semigroups
- Matrix Representations of Inverse Semigroups
- Commutative semigroups whose lattice of congruences is a chain
- Semimodularity and bisimple ω-semigroups
- On the lattice of congruences on a semilattice
- One-Parameter Inverse Semigroups
- On a sublattice of the lattice of congruences on a simple regular ω-semigroup
- Concerning congruences on symmetric inverse semigroups
- θ-Modular Bands of Groups
- Congruences on regular semigroups
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