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

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:15-qucosa2-322389
2. https://ul.qucosa.de/id/qucosa%3A32238
3. https://ul.qucosa.de/api/qucosa%3A32238/attachment/ATT-0/

Tags

Polynomials, Gröbner basis

info:eu-repo/classification/ddc/510

ddc:510

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:32238
Date	22 November 2018
Creators	Apel, Joachim, Tworzewski, Piotr, Winiarski, Tadeusz, Stückrad, Jürgen
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	info:eu-repo/semantics/submittedVersion, doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rights	info:eu-repo/semantics/openAccess