Restricted Injective Dimensions over Cohen-Macaulay Rings

Hrbek, Michal; Le Gros, Giovanna

doi:10.1007/s10468-024-10262-0

Algebr Represent Theor

2024

DOI: 10.1007/s10468-024-10262-0

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Restricted Injective Dimensions over Cohen-Macaulay Rings

Michal Hrbek,

Giovanna Le Gros

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2024

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The finite type of modules of bounded projective dimension and Serre's conditions

Hrbek,

Le Gros

2024

Bulletin of London Math Soc

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Let be a commutative Noetherian ring. For a natural number , we prove that the class of modules of projective dimension bounded by is of finite type if and only if satisfies Serre's condition . In particular, this answers positively a question of Bazzoni and Herbera in the specific setting of a Gorenstein ring. Applying similar techniques, we also show that the ‐dimensional version of the Govorov–Lazard theorem holds if and only if satisfies the ‘almost’ Serre condition .

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The finite type of modules of bounded projective dimension and Serre's conditions

Hrbek,

Le Gros

2024

Bulletin of London Math Soc

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View full text Add to dashboard Cite

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Restricted Injective Dimensions over Cohen-Macaulay Rings

Cited by 1 publication

References 35 publications

The finite type of modules of bounded projective dimension and Serre's conditions

The finite type of modules of bounded projective dimension and Serre's conditions

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