Noether normalizations, reductions of ideals, and matroids

DOI10.1090/S0002-9939-2011-10719-6zbMath1250.13002arXiv1008.0156MaRDI QIDQ3020351

Neil Epstein, Joseph P. Brennan

Publication date: 4 August 2011

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

Full work available at URL: https://arxiv.org/abs/1008.0156

zbMATH Keywords

matroidNoether normalizationNoetherian local ringminimal reductioncomplete reductiongeneric matroidstandard graded \(k\)-algebra

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Combinatorial aspects of matroids and geometric lattices (05B35) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (2)

A hyperplane restriction theorem and applications to reductions of ideals ⋮ A probabilistic approach to systems of parameters and Noether normalization

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