Green's Relations for the Variants of Transformation Semigroups Preserving an Equivalence Relation

DOI10.1080/00927870701247112zbMath1127.20044OpenAlexW2006872222MaRDI QIDQ5756459

Huisheng Pei, Lei Sun, Hongcun Zhai

Publication date: 4 September 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701247112

zbMATH Keywords

regular elementscongruencesGreen relationsequivalencessandwich semigroupsfull transformation semigroupsvariant semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (14)

On magnifying elements in \(E\)-preserving partial transformation semigroups ⋮ Green’s relation ℋ on the monoid of square matrices over a specific local ring ⋮ Variants of epigroups and primary conjugacy ⋮ Unnamed Item ⋮ NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Compatibility on naturally ordered transformation semigroups preserving an equivalence ⋮ REGULARITY AND GREEN'S RELATIONS OF GENERALIZED PARTIAL TRANSFORMATION SEMIGROUPS ⋮ Abundant Semigroups of Transformations Preserving an Equivalence Relation ⋮ A note on Green's relations in the semigroups \(T(X,\rho)\). ⋮ Unnamed Item ⋮ On certain semigroups of transformations that preserve a partition ⋮ Naturally Ordered Semigroups of Partial Transformations Preserving an Equivalence Relation

Cites Work

• Equivalences, \(\alpha\)-semigroups and \(\alpha\)-congruences
• Some \(\alpha\)-semigroups inducing certain lattices
• A regular \(\alpha\)-semigroup inducing a certain lattice
• Semigroups under a sandwich operation
• Semigroups of Transformations Preserving an Equivalence Relation and a Cross-Section
• Green's Relations for Regular Elements of Semigroups of Endomorphisms
• On a generalization of the transformation semigroup
• Green's Relations for Regular Elements of Sandwich Semigroups, I; General Results
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE

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