On noncommutative generalisations of Boolean algebras

DOI10.26493/2590-9770.1323.cebzbMath1435.06012arXiv1905.12327OpenAlexW3000192150WikidataQ126354227 ScholiaQ126354227MaRDI QIDQ5210625

Antonio Bucciarelli, Antonino Salibra

Publication date: 21 January 2020

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12327

zbMATH Keywords

skew Boolean algebrasChurch algebrasBoolean-like algebrasmultideals

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Logical aspects of Boolean algebras (03G05) Generalizations of Boolean algebras (06E75)

Cites Work

• Boolean-like algebras
• A refinement of Stone duality to skew Boolean algebras
• Skew Boolean algebras derived from generalized Boolean algebras
• Boolean inner-product spaces and Boolean matrices
• Skew lattices in rings
• On the structure of varieties with equationally definable principal congruences. III
• Skew Boolean algebras and discriminator varieties
• Recent developments in the theory of skew lattices
• Varieties in which the Pierce stalks are directly indecomposable
• The connection of skew Boolean algebras and discriminator varieties to Church algebras
• Skew lattices and binary operations on functions
• Skew Boolean algebras
• From λ-Calculus to Universal Algebra and Back
• Boolean product representations of algebras via binary polynomials
• Stone Duality for Skew Boolean Algebras with Intersections
• Dual binary discriminator varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On noncommutative generalisations of Boolean algebras