Sheaf representation and Chinese Remainder Theorems

DOI10.1007/BF01190609zbMath0772.08005OpenAlexW2042481904MaRDI QIDQ1193502

Diego J. Vaggione

Publication date: 27 September 1992

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190609

zbMATH Keywords

congruence latticesubdirect productsheaf representationBoolean representabilityglobal sections of a subdirect sheafStone representability

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Stone spaces (Boolean spaces) and related structures (06E15) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Subdirect products and subdirect irreducibility (08B26) Equational compactness (08A45)

Related Items (14)

ALGEBRAICALLY EXPANDABLE CLASSES OF IMPLICATION ALGEBRAS ⋮ Locally Boolean spectra ⋮ Birkhoff-like sheaf representation for varieties of lattice expansions ⋮ A set-theoretic proof of the representation of MV-algebras by sheaves ⋮ Unnamed Item ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ Baker–Pixley theorem for algebras in relatively congruence distributive quasivarieties ⋮ X Latin American Symposium on Mathematical Logic ⋮ Sheaves and duality ⋮ Infinitary Baker-Pixley theorem ⋮ Implicit definition of the quaternary discriminator ⋮ Quasivarieties and congruence permutability of Łukasiewicz implication algebras ⋮ Algebraically expandable classes ⋮ BL-global representations

Cites Work

• Representations by algebras of sections over Boolean spaces
• Global subdirect products
• Representation of Distributive Lattices by means of ordered Stone Spaces
• The Structure of Pseudocomplemented Distributive Lattices. I: Subdirect Decomposition
• Principal Congruences of Pseudocomplemented Distributive Lattices
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