On residually $S_2$ ideals and projective dimension one modules

DOI10.1090/S0002-9939-00-05696-3zbMath1046.13005arXivmath/0210039MaRDI QIDQ2701622

Claudia Polini, Alberto Corso

Publication date: 19 February 2001

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

Full work available at URL: https://arxiv.org/abs/math/0210039

zbMATH Keywords

analytic spreadreductionsintegral closure of idealscancellation theoremresidual intersectionsNoetherian local ringfaithful module\(G_s\)-propertiesdeterminant trickMinimal reductionsreduction number of idealsRees algebras of modules

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Integral closure of commutative rings and ideals (13B22) Projective and free modules and ideals in commutative rings (13C10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Core and residual intersections of ideals

Cites Work

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• Rees Algebras of Modules
• Ideals Having the Expected Reduction Number