Direct Sum Decompositions Over Two-Dimensional Local Domains

DOI10.1080/00927870802064663zbMath1181.13007OpenAlexW2054990477MaRDI QIDQ3638404

Nicholas R. Baeth

Publication date: 2 July 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802064663

zbMATH Keywords

finite Cohen-Macaulay typeKrull-SchmidtDirect sum decompositions

Mathematics Subject Classification ID

Commutative semigroups (20M14) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cohen-Macaulay modules (13C14) Class groups (13C20) Completion of commutative rings (13B35)

Cites Work

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• A Krull-Schmidt theorem for one-dimensional rings of finite Cohen-Macaulay type
• Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules
• Indecomposable Gorenstein modules of odd rank
• Cohen-Macaulay modules on hypersurface singularities. II
• Full elasticity in atomic monoids and integral domains.
• Rationale Singularitäten komplexer Flächen
• Characterization of Completions of Unique Factorization Domains
• Krull-Schmidt theorems in dimension 1

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