A pure power product version of the Hilbert Nullstellensatz

DOI10.1307/mmj/1030132301zbMath0964.14002OpenAlexW2062918650MaRDI QIDQ1590921

W. Dale Brownawell

Publication date: 1 January 2001

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1030132301

zbMATH Keywords

homogeneous idealpure idealunmixed idealannihilators of local cohomologyBezout form of the Nullstellensatzeffective Hilbert Nullstellensatzirrelevant prime idealrather regular sequences

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Local cohomology and commutative rings (13D45) Relevant commutative algebra (14A05)

Related Items (10)

The membership problem for polynomial ideals in terms of residue currents ⋮ On the complexity of finding tensor ranks ⋮ The radical of an \(n\)-absorbing ideal ⋮ Symbolic Methods for Solving Algebraic Systems of Equations and Applications for Testing the Structural Stability ⋮ Finite Type and the Effective Nullstellensatz ⋮ Effective Nullstellensatz for arbitrary ideals ⋮ Solution of a conjecture of C. Berenstein - A. Yger and invariants of contact at infinity ⋮ Properness defects of projection and minimal discriminant variety ⋮ A general version of the Nullstellensatz for arbitrary fields ⋮ On the effective Nullstellensatz

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