NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE

DOI10.1017/S0004972708000543zbMath1156.20063OpenAlexW2015641760MaRDI QIDQ3534781

Huisheng Pei, Lei Sun, Zheng-Xing Cheng

Publication date: 5 November 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708000543

zbMATH Keywords

equivalencestransformation semigroupsnatural orders

Mathematics Subject Classification ID

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

Related Items (14)

A natural partial order on certain semigroups of transformations with restricted range. ⋮ Unnamed Item ⋮ A natural partial order on partition order-decreasing transformation semigroups ⋮ Compatibility on naturally ordered transformation semigroups preserving an equivalence ⋮ A natural partial order on certain semigroups of transformations restricted by an equivalence ⋮ THE NATURAL ORDER FOR THE E-ORDER-PRESERVING TRANSFORMATION SEMIGROUPS ⋮ NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET ⋮ Naturally Ordered Transformation Semigroups Preserving an Equivalence Relation and a Cross-section ⋮ Unnamed Item ⋮ Regularity and Green's relations on semigroups of transformations with restricted range that preserve an equivalence ⋮ 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 ⋮ A partial order on transformation semigroups with restricted range that preserve double direction equivalence

Cites Work

• Naturally ordered transformation semigroups
• Equivalences, \(\alpha\)-semigroups and \(\alpha\)-congruences
• Some \(\alpha\)-semigroups inducing certain lattices
• Partial orders on transformation semigroups.
• A regular \(\alpha\)-semigroup inducing a certain lattice
• On the rank of the semigroup \(T_E(X)\)
• A Natural Partial Order for Semigroups
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
• Partial orders on linear transformation semigroups
• Green's Relations for the Variants of Transformation Semigroups Preserving an Equivalence Relation

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