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arXiv · 2504.03659

On some admissible lattices

Stefano Fioravanti
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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 in a given congruence variety. In particular, we present characterizations of congruence modular varieties, Taylor varieties, and varieties satisfying a non-trivial congruence identity by means of lattice omission provable using Freese's technique.

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Stefano Fioravanti. 2025-03-09. On some admissible lattices. https://arxiv.org/abs/2504.03659

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