Varieties of distributive rotational lattices
G\'abor Cz\'edli, Ildik\'o V. Nagy
TL;DR
This paper characterizes subdirectly irreducible distributive rotational lattices and describes all their varieties using Jónsson's lemma, advancing the understanding of their algebraic structure.
Contribution
It provides a complete description of subdirectly irreducible distributive rotational lattices and characterizes all varieties of these lattices.
Findings
Identification of subdirectly irreducible distributive rotational lattices
Application of Jónsson's lemma to describe varieties
Comprehensive classification of all varieties of distributive rotational lattices
Abstract
A rotational lattice is a structure (L;\vee,\wedge, g) where L=(L;\vee,\wedge) is a lattice and g is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using J\'onsson's lemma, this leads to a description of all varieties of distributive rotational lattices.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic · semigroups and automata theory