English

On Freese's technique

Rings and Algebras 2023-09-14 v2

Abstract

In this paper we explore some applications of a certain technique (that we call the Freese's technique), which is a tool for identifying certain lattices as sublattices of the congruence lattice of a given algebra. In particular we will give sufficient conditions for two family of lattices (called the rods and the snakes) to be admissible as sublattices of a variety generated by a given algebra, extending an unpublished result of R. Freese and P. Lipparini.

Keywords

Cite

@article{arxiv.2302.11452,
  title  = {On Freese's technique},
  author = {Paolo Aglianò and Stefano Bartali and Stefano Fioravanti},
  journal= {arXiv preprint arXiv:2302.11452},
  year   = {2023}
}
R2 v1 2026-06-28T08:47:03.029Z