Sheaves of integral domains on Stone spaces

DOI10.1016/0022-4049(87)90060-0zbMath0631.13018OpenAlexW2072892396MaRDI QIDQ1094474

Kimmo I. Rosenthal, Susan B. Niefield

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90060-0

zbMATH Keywords

almost weak Baer ringrepresentability as a sheaf of integral domains

Mathematics Subject Classification ID

Integral domains (13G05) Topological representations of algebraic systems (54H10)

Related Items (5)

A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Tychonoff spaces and a ring theoretic order on \(C(X)\) ⋮ The reduced ring order and lower semi-lattices II ⋮ Some algebraic characterizations of \(F\)-frames ⋮ The reduced ring order and lower semi-lattices

Cites Work

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• Integral domain type representations in sheaves and other topoi
• Rings, fields, and spectra
• On the compactness of minimal spectrum
• Completeness results for intuitionistic and modal logic in a categorical setting
• Stone-Čech compactification of a product
• Modules over commutative regular rings
• Prime Ideal Structure in Commutative Rings
• A Characterization of Exchange Rings

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