THE NATURAL PARTIAL ORDER ON THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION

DOI10.1017/S0004972712001013zbMath1283.20067MaRDI QIDQ2872001

Xiangjun Xin, Lei Sun

Publication date: 14 January 2014

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

zbMATH Keywords

equivalencescompatibilitytransformation semigroupsmaximal elementsnatural partial orderminimal elements

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Subalgebras, congruence relations (08A30)

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
• Green's relations and regularity for semigroups of transformations that preserve reverse direction equivalence.
• On the rank of the semigroup \(T_E(X)\)
• NATURALLY ORDERED TRANSFORMATION SEMIGROUPS PRESERVING AN EQUIVALENCE
• REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE
• Partial orders on linear transformation semigroups
• NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET

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