A dimension inequality for Cohen-Macaulay rings

DOI10.1090/S0002-9947-01-02870-7zbMath1007.13009MaRDI QIDQ2759052

Sean K. Sather-Wagstaff

Publication date: 10 December 2001

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

zbMATH Keywords

Cohen-Macaulay ringsmultiplicitiesdimension inequalityintersection multiplicitiesintersection dimension

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (1)

Multiplicities and a dimension inequality for unmixed modules

Cites Work

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• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• On the Macaulayfication of local rings
• Smoothness, semi-stability and alterations
• Recent developments on Serre's multiplicity conjectures: Gabber's proof of the nonnegativity conjecture
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Inequalities related to certain couples of local rings
• The vanishing of intersection multiplicities of perfect complexes

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