Generalized logic and the representation of rings

DOI10.1007/BF00122257zbMath0856.03050OpenAlexW2086288500MaRDI QIDQ1923804

Simon Ambler, Dominic Verity

Publication date: 12 November 1996

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00122257

zbMATH Keywords

enriched categoryPierce representationlocalic subquantalequantic sheafsheaf representations for commutative ringssheaves over a quantale

Mathematics Subject Classification ID

Categorical logic, topoi (03G30) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Enriched categories (over closed or monoidal categories) (18D20)

Related Items (2)

Elementary characterisation of small quantaloids of closed cribles ⋮ Sheaves on quantaloids

Cites Work

• Algebra in a localic topos with applications to ring theory
• Quantales and their sheaves
• Sheaves on sites as Cauchy-complete categories
• A theory of quantal sets
• ENRICHED CATEGORIES AND COHOMOLOGY
• Metric spaces, generalized logic, and closed categories
• An analogue of the pierce sheaf for non-commutative rings
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