Equivalences, \(\alpha\)-semigroups and \(\alpha\)-congruences

DOI10.1007/BF02573470zbMath0804.20046MaRDI QIDQ1328445

Huisheng Pei

Publication date: 17 January 1995

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

Full work available at URL: https://eudml.org/doc/135333

zbMATH Keywords

lattice of equivalence relationssemigroup of selfmaps\(\alpha\)-congruences\(\alpha\)-semigroup\(T\)-equivalence relation\(T\)-equivalencessmallest proper congruence

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30) Mappings of semigroups (20M15)

Related Items (19)

Unnamed Item ⋮ A regular \(\alpha\)-semigroup inducing a certain lattice ⋮ Regular and unit-regular elements in various monoids of transformations ⋮ Superassociative structures of terms and formulas defined by transformations preserving a partition ⋮ NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE ⋮ Unnamed Item ⋮ THE NATURAL ORDER FOR THE E-ORDER-PRESERVING TRANSFORMATION SEMIGROUPS ⋮ REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE ⋮ Green's Relations for the Variants of Transformation Semigroups Preserving an Equivalence Relation ⋮ Regularity of semigroups of transformations whose characters form the semigroup of a \(\Delta\)-structure ⋮ Abundant Semigroups of Transformations Preserving an Equivalence Relation ⋮ A note on Green's relations in the semigroups \(T(X,\rho)\). ⋮ On certain semigroups of transformations that preserve a partition ⋮ Idempotent Generation in the Endomorphism Monoid of a Uniform Partition ⋮ Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition ⋮ Presentations for singular wreath products ⋮ A PARTIAL ORDER ON TRANSFORMATION SEMIGROUPS THAT PRESERVE DOUBLE DIRECTION EQUIVALENCE RELATION ⋮ Naturally Ordered Semigroups of Partial Transformations Preserving an Equivalence Relation ⋮ THE NATURAL PARTIAL ORDER ON THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION

Cites Work

• Unnamed Item
• The \(\alpha\)-congruences on \(S(X)\) and the \(S\)-equivalences on \(X\)
• The smallest proper congruence on S(X)
• Some Homomorphism Theorems for a Class of Semigroups

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