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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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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Nebraska, 68588, Lincoln, Nebraska

    John Meakin

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  1. John Meakin
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Additional information

Communicated by Boris M. Schein

To Professor L.M. Gluskin, on his 60th birthday

This research was supported by NSF Grant No. MCS 8002901

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Meakin, J. Local semilattices on two generators. Semigroup Forum 24, 95–116 (1982). https://doi.org/10.1007/BF02572763

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  • DOI: https://doi.org/10.1007/BF02572763

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