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About: Compact semigroup     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatFormalLanguages, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Communication100033020yago:Language106282651yago:WikicatFormalLanguages New Facet based on Instances of this Class

In mathematics, a compact semigroup is a semigroup in which the sets of solutions to equations can be described by finite sets of equations. The term "compact" here does not refer to any topology on the semigroup. Two systems of equations are equivalent if they have the same set of satisfying assignments. A system of equations if independent if it is not equivalent to a proper subset of itself. A semigroup is compact if every independent system of equations is finite.