An algorithm for constructing gröbner bases from characteristic sets and its application to geometry
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In Ritt's method, a prime ideal is given by a characteristic set. A characteristic set of a prime ideal is generally not a set of generators of this ideal. In this paper we present a simple algorithm for constructing Gröbner bases of a prime ideal from its characteristic set. We give a method for finding new theorems in geometry as an application of this algorithm.
Key wordsPolynomial, (Prime) ideal Generators (Irreducible) ascending chain (Irreducible) algebraic set Decomposition of an algebraic set Geometric configuration Nondegenerate component Geometry theorem proving
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