The \(\alpha\)-congruences on \(S(X)\) and the \(S\)-equivalences on \(X\)

DOI10.1007/BF02573740zbMath0784.20034MaRDI QIDQ2367891

Huisheng Pei

Publication date: 17 August 1993

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

Full work available at URL: https://eudml.org/doc/135253

zbMATH Keywords

semigroup of continuous selfmapslattice of equivalencescomplete lattice of congruences

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Subalgebras, congruence relations (08A30)

Related Items (3)

Equivalences, \(\alpha\)-semigroups and \(\alpha\)-congruences ⋮ A regular \(\alpha\)-semigroup inducing a certain lattice ⋮ REGULARITY AND GREEN'S RELATIONS FOR SEMIGROUPS OF TRANSFORMATIONS THAT PRESERVE AN EQUIVALENCE

Cites Work

• Unnamed Item
• Groups represented by homeomorphism groups. I
• Congruences on semigroups of continuous selfmaps
• A survey of semigroups of continuous selfmaps
• Epimorphisms From S(X) onto S(Y)
• The smallest proper congruence on S(X)
• Some Homomorphism Theorems for a Class of Semigroups

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