Uniqueness of uniform decompositions in abelian categories

DOI10.1016/S0022-4049(03)00064-1zbMath1027.18007OpenAlexW1995233763MaRDI QIDQ1413889

Henning Krause

Publication date: 17 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00064-1

zbMATH Keywords

Grothendieck categoryunique decomposition theoremKrull-Schmidt type theoremuniform objects in abelian category

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of associative Artinian rings (16G10) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items

Pure Goldie dimensions for exactly definable categories, Pseudo pure-injective objects, Uniqueness of uniform decompositions in exact categories, A uniqueness theorem in a finitely accessible additive category, On pure Goldie dimensions

Cites Work

• Uniqueness of monogeny classes for uniform objects in abelian categories
• Des catégories abéliennes