Local semilattices on two generators

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1982 Germany English Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 24, pages 95-116 (issn: 0037-1912, eissn: 1432-2137,

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Authors: Meakin, J.;

doi: 10.1007/bf02572763

Local semilattices on two generators

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Abstract

The set of idempotents of a pseudo-inverse semigroup (see Nambooripad [11]) is referred to as alocal semilattice in this paper (it was called a “partially associative pseudo-semilattice” by Nambooripad). Local semilattices form a variety and so free local semilattices exist. The free local semilattice F2 on two generators was described and studied by Meakin and Pastijn in [7]. In this paper we describe all local semilattices on two generators as images of F2.

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Germany

Related Organizations

University of Nebraska System
United States
DigiZeitschriften
Germany
University of Nebraska–Lincoln
United States

Keywords

locally inverse semigroup, 510.mathematics, local semilattices, idempotents, Semilattices, free local semilattice on two generators, General structure theory for semigroups, Article, regular semigroup

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