A regular \(\alpha\)-semigroup inducing a certain lattice

DOI10.1007/BF02574125zbMath0852.20052OpenAlexW2045215359MaRDI QIDQ1916043

Huisheng Pei

Publication date: 10 December 1996

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

Full work available at URL: https://eudml.org/doc/135474

zbMATH Keywords

equivalence relationscomplete latticesfull transformation semigroups\(T\)-equivalences\(\alpha\)-semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30)

Related Items (5)

NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE ⋮ Green's Relations for the Variants of Transformation Semigroups Preserving an Equivalence Relation ⋮ Abundant Semigroups of Transformations Preserving an Equivalence Relation ⋮ A PARTIAL ORDER ON TRANSFORMATION SEMIGROUPS THAT PRESERVE DOUBLE DIRECTION EQUIVALENCE RELATION ⋮ THE NATURAL PARTIAL ORDER ON THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION

Cites Work

• Equivalences, \(\alpha\)-semigroups and \(\alpha\)-congruences
• The \(\alpha\)-congruences on \(S(X)\) and the \(S\)-equivalences on \(X\)
• Green's Relations for Regular Elements of Semigroups of Endomorphisms
• The smallest proper congruence on S(X)
• Some Homomorphism Theorems for a Class of Semigroups

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