Integral domain type representations in sheaves and other topoi

DOI10.1007/BF01174724zbMath0331.18011MaRDI QIDQ1227803

John F. Kennison

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172430

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ordered rings, algebras, modules (06F25) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Categories and theories (18C99)

Related Items (10)

Sheaves of integral domains on Stone spaces ⋮ Unnamed Item ⋮ Limits, colimits, and spectra of modelled spaces ⋮ Sheaves and prime model extensions ⋮ Separable algebraic closure in a topos ⋮ Associative rings ⋮ An ordered sheaf representation of subresiduated lattices ⋮ Rings, fields, and spectra ⋮ Une description axiomatique des categories de faisceaux de structures algébriques sur les espaces topologiques booleens ⋮ BL-global representations

Cites Work

• Radicals in function rings
• Triples and compact sheaf representation
• The existence and structure of Irr(X)
• Localization and completion
• Adjoint functors and triples
• Equational completion, model induced triples and pro-objects
• Localization and Codensity Triples
• Modules over commutative regular rings
• Representations of algebras by continuous sections
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