Semigroups of continuous selfmaps for which Green's and ℐ relations coincide

DOI10.1017/S0017089500003670zbMath0407.54033MaRDI QIDQ4194110

Kenneth D. jun. Magill

Publication date: 1979

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Green's relationsone-point compactificationregular semigroupsemigroups of continuous selfmapscountably infinite discrete space

Mathematics Subject Classification ID

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

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The largest proper regular ideal of $S(X)$, Semigroups in which D and J coincide for regular elements, Ordering the local subsemigroups of a semigroup

Cites Work

• Groups represented by homeomorphism groups. I
• Green's Relations for Regular Elements of Semigroups of Endomorphisms