A Finite Global Azumaya Theorem in Additive Categories

DOI10.2307/2045262zbMath0538.18007OpenAlexW4246492628MaRDI QIDQ3324133

David M. Arnold

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045262

zbMATH Keywords

direct sum decompositionKrull-Remak-Schmidt-Azumaya theoremadditive category with splitting idempotent morphismslocal unique

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Preadditive, additive categories (18E05)

Related Items (6)

Noncommutative motives of separable algebras ⋮ The max-plus algebra of exponent matrices of tiled orders ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ The cone of quasi-semimetrics and exponent matrices of tiled orders ⋮ Modules over discrete valuation domains. II

Cites Work

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• Group rings of finite groups over p-adic integers
• Global Azumaya theorems in additive categories
• Finite rank torsion free Abelian groups and rings
• Unique decomposition and isomorphic refinement theorems in additive categories
• Global Dimension of Tiled Orders Over Commutative Noetherian Domains
• Global Dimension of Tiled Orders Over a Discrete Valuation Ring

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