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arXiv · 2310.04235

Restrictions on local embeddability into finite semigroups

Dmitry Kudryavtsev
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Abstract

In this paper the concept of local embeddability into finite structures (being LEF) for the class of semigroups is expanded with investigations of non-LEF structures, a closely related generalising property of local wrapping of finite structures (being LWF) and inverse semigroups. The established results include a description of a family of non-LEF semigroups unifying the bicyclic monoid and Baumslag--Solitar groups and establishing that inverse LWF semigroups with finite number of idempotents are LEF.

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Dmitry Kudryavtsev. 2023-10-06. Restrictions on local embeddability into finite semigroups. https://arxiv.org/abs/2310.04235

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