New perspectives on semi-primal varieties

DOI10.1016/j.jpaa.2023.107525arXiv2301.13406MaRDI QIDQ6185300

Wolfgang Poiger, Alexander Kurz, Bruno Teheux

Publication date: 8 January 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.13406

zbMATH Keywords

canonical extensionBoolean powerstone dualityprimal algebrasBoolean skeletonsemi-primal algebras

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Operations and polynomials in algebraic structures, primal algebras (08A40) Categories of algebras (08C05) Generalizations of Boolean algebras (06E75)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Natural duality, modality, and coalgebra
• Canonical extensions and discrete dualities for finitely generated varieties of lattice-based algebras
• Residuated lattices. An algebraic glimpse at substructural logics
• From the subalgebras of the square to the discriminator
• Discriminator varieties and symbolic computation
• Polynomial interpolation and the Chinese remainder theorem for algebraic systems
• Boolean powers
• A note on homomorphisms between products of algebras
• Restricted Priestley dualities and discriminator varieties
• Varieties of De Morgan monoids: minimality and irreducible algebras
• Semisimplicity, EDPC and discriminator varieties of residuated lattices
• Algebraic foundations of many-valued reasoning
• Proper n-valued Lukasiewicz algebras as S-algebras of Lukasiewicz n- valued propositional calculi
• Morita equivalence of almost-primal clones
• Bohr compactifications of algebras and structures
• L-fuzzy sets
• Automorphisms and functional completeness in universal algebras. I: General automorphisms, structure theory and characterizations
• Semi-primal algebras; characterization and normal-decomposition
• Stone duality for primal algebra theory
• Congruence relations and functional completeness in universal algebras. Structure theory of hemi-primals. I
• The ternary discriminator function in universal algebra
• On the topological duality for primal algebra theory
• Categories of fuzzy sets
• Semi-categorical algebras. I: Semi-primal algebras
• Semi-categorial algebras. II
• Generalized ``Boolean theory of universal algebras. I. Subdirect sums and normal representation theorem
• Generalized ``Boolean theory of universal algebras. II. Identities and subdirect sums of functionally complete algebras
• The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Fuzzy Set Theory and Topos Theory
• Concept representation in natural and artificial languages: Axioms, extensions and applications for fuzzy sets
• Bounded distributive lattice expansions
• On Finitary Functors
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Profinite Groups
• Demi-semi-primal algebras and Mal'cev-type conditions
• Natural dualities for varieties of MV-algebras. I

This page was built for publication: New perspectives on semi-primal varieties