Quasivarieties of p-Algebras: Some New Results

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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Publication Details

Journal
Studia Logica
Published
2025-06-24
DOI
https://doi.org/10.1007/s11225-025-10187-9
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00

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article

Quasivarieties of p-Algebras: Some New Results

Tomasz Kowalski, Katarzyna Słomczyńska
Studia Logica
Advanced Algebra and Logic
article

Quasivarieties of p-Algebras: Some New Results

Tomasz Kowalski, Katarzyna Słomczyńska
article en

Abstract

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.

Studia LogicaVol. 114(1)
Jagiellonian University (PL), The University of Queensland (AU), La Trobe University (AU), University School of Physical Education in Kraków (PL)
Narodowe Centrum Nauki
Openalex Percentile: Top 84%
Advanced Algebra and Logic
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