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Semigroups locally embeddable into the class of finite semigroups

D. Kudryavtsev

Department of Mathematics, University of Manchester, Manchester M13 9PL, UK

E-mail Address: dmitry.kudryavtsev@postgrad.manchester.ac.uk

https://doi.org/10.1142/S021819672350042XCited by:1 (Source: Crossref)

Abstract

In this paper the concept of local embeddability into finite structures (being LEF) is examined for the class of semigroups. The established results include the connections to the previously studied class of LEF groups, residual finiteness, linear semigroups and the preservation of being LEF under certain semigroup constructions, such as adjoining zero or identity and taking direct, semidirect and wreath products.

Communicated by R. Gray

Keywords:

AMSC: 20M05, 20M07, 20M15, 03C13

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