Modules of finite projective dimension with negative intersection multiplicities
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Publication:1073106
DOI10.1007/BF01388973zbMath0588.13020OpenAlexW2006958880MaRDI QIDQ1073106
Sankar P. Dutta, J. E. McLaughlin, Melvin Hochster
Publication date: 1985
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143195
Homological dimension and commutative rings (13D05) Multiplicity theory and related topics (13H15) Grothendieck groups, (K)-theory and commutative rings (13D15) Torsion modules and ideals in commutative rings (13C12)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Frobenius and multiplicities
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Modules over unramified regular local rings
- Weak linking and multiplicities
- Euler characteristics over unramified regular local rings
- On the vanishing of Tor in regular local rings
- Generalized Intersection Multiplicities of Modules
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
