학술논문

Restrictions on local embeddability into finite semigroups
Document Type
Original Paper
Source
Semigroup Forum. :1-19
Subject
Finite semigroups
Local embeddability into finite
Inverse semigroups
Language
English
ISSN
0037-1912
1432-2137
Abstract
We expand the concept of local embeddability into finite structures (LEF) for the class of semigroups with investigations of non-LEF structures, a closely related generalising property of local wrapping of finite structures (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 demonstrating that inverse LWF semigroups with finite number of idempotents are LEF.