ABUNDANCE OF THE SEMIGROUP OF ALL TRANSFORMATIONS OF A SET THAT REFLECT AN EQUIVALENCE RELATION

DOI10.1142/S0219498813500886zbMath1286.20072MaRDI QIDQ5401617

Lei Sun, Li-min Wang

Publication date: 10 March 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

idempotentsGreen relationsequivalencestransformation semigroupsabundant semigroupsabundance

Mathematics Subject Classification ID

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

Related Items

Abundance of $E$-order-preserving transformation semigroups, On certain semigroups of full contraction maps of a finite chain

Cites Work

• Infinite injective transformations whose centralizers have simple structure.
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• Abundant Semigroups
• On the semigroups of order-decreasing finite full transformations
• NATURAL PARTIAL ORDER IN SEMIGROUPS OF TRANSFORMATIONS WITH INVARIANT SET
• CENTRALIZERS IN THE SEMIGROUP OF INJECTIVE TRANSFORMATIONS ON AN INFINITE SET