Closed ideals in semigroups of continuous selfmaps

DOI10.1007/BF02574341zbMath0746.54016OpenAlexW2094204352MaRDI QIDQ1185775

A. M. Forouzanfar

Publication date: 28 June 1992

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

Full work available at URL: https://eudml.org/doc/135145

zbMATH Keywords

principal right idealsprincipal left idealsregular elementclosed two-sided ideals

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Algebraic properties of function spaces in general topology (54C40) Structure of topological semigroups (22A15)

Cites Work

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• The ideal structure of \(X^X\)
• On a family of ideals of S(X)
• The semigroup of continuous selfmaps ofIhas infinitely many ideals
• Topologies on Spaces of Subsets