One-Parameter Inverse Semigroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1972Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 168, page 53 (issn: 0002-9947,

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Authors: Eberhart, Carl; Selden, John;

doi: 10.2307/1996159 , 10.1090/s0002-9947-1972-0296197-4

One-Parameter Inverse Semigroups

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Abstract

This is the second in a projected series of three papers, the aim of which is the complete description of the closure of any one-parameter inverse semigroup in a locally compact topological inverse semigroup. In it we characterize all one-parameter inverse semigroups. In order to accomplish this, we construct the free one-parameter inverse semigroups and then describe their congruences.

Keywords

homomorphism, one-parameter inverse semigroup, free topological semigroup, congruences, Structure of topological semigroups, Inverse semigroups

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