The field \(\mathbb F_{8}\) as a Boolean manifold

DOI10.1515/TMJ-2015-0002zbMath1322.03020OpenAlexW2277451947MaRDI QIDQ2260279

René Guitart

Publication date: 10 March 2015

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2015-0002

zbMATH Keywords

finite fieldsBoolean algebramany-valued logics

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Boolean functions (06E30) Many-valued logic (03B50) Logical aspects of Boolean algebras (03G05) Boolean algebras with additional operations (diagonalizable algebras, etc.) (06E25)

Cites Work

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• A hexagonal framework of the field \({\mathbb{F}_4}\) and the associated Borromean logic
• Primitive Normal Bases for Finite Fields
• Hexagonal Logic of the Field $\mathbb{F}_{8}$ as a Boolean Logic with Three Involutive Modalities
• Towards a Categorical Theory of Creativity for Music, Discourse, and Cognition
• Function Algebras on Finite Sets

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