Quasivarieties of p-algebras: some new results
Tomasz Kowalski, Katarzyna S{\l}omczy\'nska
TL;DR
This paper explores the structure of quasivarieties of distributive p-algebras, refining existing results, analyzing their subquasivariety lattice, and characterizing those generated by free p-algebras.
Contribution
It provides new insights into the structure of quasivarieties of p-algebras and characterizes those generated by free p-algebras within a small quasivariety.
Findings
Refined the understanding of quasivariety lattice
Identified a small quasivariety generated by free p-algebras
Characterized quasivarieties by excluding certain subdirectly irreducibles
Abstract
We investigate quasivarieties of (distributive) p-algebras. We sharpen some previous results, give a better picture of the subquasivariety lattice, and prove that quasivarieties generated by free p-algebras belong to a rather small quasivariety characterised by excluding all but 3 subdirectly irreducibles.
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Multi-Criteria Decision Making