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Intersections of Sequences of Ideals Generated by Polynomials: Dedicated to Professor Stanis law Lojasiewicz on his 70th birthday

We present a method for determining the reduced Gröbner basis
with respect to a given admissible term order of order type ! of the
intersection ideal of an infinite sequence of polynomial ideals.
As an application we discuss the Lagrange type interpolation on
algebraic sets and the 'approximation' of the ideal I of an algebraic
set by zero dimensional ideals, whose affine Hilbert functions converge
towards the affine Hilbert function of I.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:32238
Date22 November 2018
CreatorsApel, Joachim, Tworzewski, Piotr, Winiarski, Tadeusz, Stückrad, Jürgen
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/submittedVersion, doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess

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