Remarks on generalized analytic independence

DOI10.1017/S0305004100055699zbMath0402.13002MaRDI QIDQ4186454

Giuseppe Valla

Publication date: 1979

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

zbMATH Keywords

NoetherianHeightRees AlgebraA-IndependentAnalytic Independence of Systems of ParametersSerre-ConditionVanishing of the First Homology Group

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

Maximum number of independent elements and dimension of prime divisors in completions of local rings ⋮ On the symmetric and Rees algebras of an ideal ⋮ Correction and complements to: On the symmetric and Rees algebras of an ideal ⋮ Independent elements and asymptotic sequences ⋮ Independent elements, unmixedness theorems, and asymptotic prime divisors

Cites Work

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• Ideals of the principal class, R-sequences and a certain monoidal transformation
• Generalized Analytic Independence
• Remarks on regular sequences
• Form rings and regular sequences
• Regularity Conditions in Nonnoetherian Rings
• Stable rings and a problem of Bass
• Foundations of a General Theory of Birational Correspondences

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