On the existence of embeddings into modules of finite homological dimensions

DOI10.1090/S0002-9939-10-10323-2zbMath1192.13014arXiv0811.4461OpenAlexW2045097815MaRDI QIDQ3574799

Ryo Takahashi, Siamak Yassemi, Yuji Yoshino

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4461

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringprojective dimensioninjective dimension(semi)dualizing module

Mathematics Subject Classification ID

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

Related Items (2)

New Characterizations of Dualizing Modules ⋮ Quasi-projective dimension

Cites Work

• A new approximation theory which unifies spherical and Cohen--Macaulay approximations
• Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
• Gorenstein modules
• Stable module theory
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