Semigroups for which the continuum congruences form finite chains

DOI10.1007/BF02573451zbMath0533.20037MaRDI QIDQ789533

Kenneth D. jun. Magill

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/134717

zbMATH Keywords

Peano continuasemigroup of continuous selfmapscontinuum congruences

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Subalgebras, congruence relations (08A30) Mappings of semigroups (20M15)

Related Items (3)

Semigroups whose regular \({\mathcal J}\)-classes form finite lattices ⋮ Principal continuum congruences, regular \({\mathcal J}\)-classes and local subsemigroups ⋮ Ordering the local subsemigroups of a semigroup

Cites Work

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• An embedding theorem for semigroups of continuous selfmaps
• Congruences on semigroups of continuous selfmaps
• Regular J-classes of semigroups of continua
• Semigroups with only finitely many regular D-classes
• Semigroups in which D and J coincide for regular elements

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