The largest proper regular ideal of $S(X)$

DOI10.21136/cmj.1996.127271zbMath0903.20034OpenAlexW3048360810MaRDI QIDQ4396127

Kenneth D. jun. Magill

Publication date: 28 October 1998

Full work available at URL: https://eudml.org/doc/30289

zbMATH Keywords

maximal subgroupsregular semigroupsGreen relationsendomorphism monoidssemigroup idealssemigroups of continuous selfmapscompletely regular Hausdorff spacesrealcompact \(0\)-dimensional Hausdorff spaces

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Continuous maps (54C05) Regular semigroups (20M17)

Cites Work

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• The maximal regular ideal of the semigroup of binary relations
• Green's Relations for Regular Elements of Semigroups of Endomorphisms
• Semigroups of continuous selfmaps for which Green's and ℐ relations coincide

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