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A Stone-type theorem for Abelian semigroups

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Publication:1106340
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DOI10.1007/BF01194389zbMath0651.20067OpenAlexW2056763516MaRDI QIDQ1106340

Zsolt Páles

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194389

zbMATH Keywords

Abelian semigroupcomplementary subsemigroupsdisjoint convex setsdisjoint subsemigroupsStone's separation theorem


Mathematics Subject Classification ID

Commutative semigroups (20M14) Abstract harmonic analysis (43A99) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)


Related Items

A generalization of the Dubovitskii-Milyutin separation theorem for commutative semigroups, A general separation theorem for various structures, Convexity of sets in metric abelian groups, Convexity and a Stone-type theorem for convex sets in abelian semigroup setting



Cites Work

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  • Eine abstrakte Version des Satzes von Hahn-Banach
  • Sandwich theorems and lattice semigroups
  • Interpolation of additive functionals
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