Modular Abbott Algebras

This note adds to the investigation of Abbott algebras in relation to quantum logics (see the references below). We introduce a variety of modular Abbott algebras and show that they are isomorphic to the variety of modular quantum logics. We extend this isomorphism for the varieties endowed with a symmetric difference.

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Publication Details

Journal
Axioms
Published
2025-10-15
DOI
https://doi.org/10.3390/axioms14100765
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00

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article

Modular Abbott Algebras

Dominika Burešová, Pavel Pták
Axioms
Advanced Algebra and Logic
article

Modular Abbott Algebras

Dominika Burešová, Pavel Pták
article en

Abstract

This note adds to the investigation of Abbott algebras in relation to quantum logics (see the references below). We introduce a variety of modular Abbott algebras and show that they are isomorphic to the variety of modular quantum logics. We extend this isomorphism for the varieties endowed with a symmetric difference.

AxiomsVol. 14(10)
Czech Technical University in Prague (CZ)
Grantová Agentura České Republiky
Openalex Percentile: Top 69%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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Modular Abbott Algebras — Dominika Burešová, Pavel Pták · Axioms (2025) | TGRS Research Map | TGRS