Unique decomposition and isomorphic refinement theorems in additive categories

DOI10.1016/0022-4049(76)90059-1zbMath0354.18011OpenAlexW2086924494MaRDI QIDQ1236606

Carol L. Walker, Robert B. jun. Warfield

Publication date: 1976

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(76)90059-1

Mathematics Subject Classification ID

Preadditive, additive categories (18E05) Abelian groups (20K99)

Related Items (14)

A Finite Global Azumaya Theorem in Additive Categories ⋮ Unnamed Item ⋮ Filtered modules over discrete valuation domains ⋮ Global Azumaya theorems in additive categories ⋮ Krull-Remak-Schmidt decompositions in Hom-finite additive categories ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Simply presented valuated Abelian p-groups ⋮ Valuated groups ⋮ Modules over discrete valuation domains. II ⋮ Almost-affable Abelian groups ⋮ Mixed modules over incomplete discrete valuation rings

Cites Work

• Unnamed Item
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• Projective modules
• Local quasi-isomorphisms of torsion free Abelian groups
• Nearly isomorphic torsion free abelian groups
• Refinements for infinite direct decompositions of algebraic systems
• Decompositions of injective modules
• On the Krull-Schmidt theorem with application to sheaves
• On direct decompositions of torsionfree Abelian groups
• On Direct Decomposition of Torsion Free Abelian Groups.
• Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.
• A Krull-Schmidt Theorem for Infinite Sums of Modules
• Des catégories abéliennes
• Classification theorems for 𝑝-groups and modules over a discrete valuation ring
• Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem

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