Restrictions on local embeddability into finite semigroups
Group Theory
2023-10-09 v1
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.
Cite
@article{arxiv.2310.04235,
title = {Restrictions on local embeddability into finite semigroups},
author = {Dmitry Kudryavtsev},
journal= {arXiv preprint arXiv:2310.04235},
year = {2023}
}
Comments
19 pages