Semigroups locally embeddable into the class of finite semigroups

D. Kudryavtsev

doi:10.1142/S021819672350042X

Semigroups locally embeddable into the class of finite semigroups

D. Kudryavtsev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	969-988
Journal	International Journal of Algebra and Computation
Volume	33
Issue number	5
DOIs	https://doi.org/10.1142/S021819672350042X
Publication status	Published - 8 Jul 2023

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10.1142/S021819672350042X

LEF_Kudryavtsev4Accepted author manuscript, 330 KBLicence: CC BY

1 Article

Restrictions on local embeddability into finite semigroups
Kudryavtsev, D., 17 Apr 2024, In: Semigroup Forum. 109, p. 148-166 19 p.
Research output: Contribution to journal › Article › peer-review

Cite this

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Semigroups locally embeddable into the class of finite semigroups

Abstract

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Research output

Restrictions on local embeddability into finite semigroups

Cite this