On some admissible lattices
Rings and Algebras
2025-05-05 v3
Abstract
This paper explores applications of the so-called Freese's technique, a classical approach to study the congruence variety of a given algebra. We leverage this tool to investigate lattices that are admissible as congruence sublattice of a given algebra. In particular, we present a novel characterization of congruence modular varieties, Taylor varieties, and varieties satisfying a non-trivial congruence identity by means of lattice omission.
Cite
@article{arxiv.2504.03659,
title = {On some admissible lattices},
author = {Stefano Fioravanti},
journal= {arXiv preprint arXiv:2504.03659},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2302.11452