Direct Summands of Syzygy Modules of the Residue Class Field

DOI10.1017/S002776300000948XzbMath1132.13305arXivmath/0703186MaRDI QIDQ5458031

Ryo Takahashi

Publication date: 10 April 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703186

zbMATH Keywords

Gorenstein ringsyzygy moduledirect summandg-dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Structure of irreducible homomorphisms to/from free modules ⋮ Symmetries and connected components of the AR-quiver of a Gorenstein local ring ⋮ Syzygy modules with semidualizing or G-projective summands

Cites Work

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• Homology of Noetherian rings and local rings
• Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules
• Gorenstein dimensions
• On the category of modules of Gorenstein dimension zero. II
• A remarkable property of the (co) syzygy modules of the residue field of a nonregular local ring
• Liftings and weak liftings of modules
• The homological theory of maximal Cohen-Macaulay approximations
• The Fundamental Module of a Normal Local Domain of Dimension 2
• Stable module theory

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