Titlebook: Algorithmic Algebra; Bhubaneswar Mishra Textbook 1993 Springer-Verlag New York, Inc. 1993 Gr?bner basis.algebra.algorithms.computer.comput

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Dubbels Taschenbuch für den Maschinenbauarbitrary set of multivariate polynomials. The .-polynomial and reduction processes take the place of the . step of the Gaussian algorithm. Taking this analogy much further, one can devise a constructive procedure to compute the set of solutions of a system of arbitrary multivariate polynomial equat

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F. Fr?hlich,Ch. Bouché,F. Sass,F. Wettst?dt the constructive algebraic methods to differential algebra. However, the concept languished in near oblivion until the seventies when the Chinese mathematician Wu Wen-Tsün [209–211] realized its power in the case where Ritt’s techniques are specialized to commutative algebra. In particular, he exhi

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Dubbels Taschenbuch für den Maschinenbau). The underlying (real) geometry provides a rich set of mechanisms to describe such topological notions as “between,” “above/below,” “internal/external,” since it can use the inherent order relation (<) of the real (or, real closed) field. As a result, the subject has found many applications in suc

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Algorithmic Algebra978-1-4612-4344-1Series ISSN 0172-603X Series E-ISSN 2512-5486

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Dubbels Taschenbuch für den Maschinenbauctive methods that compute a Gr?bner basis of an ideal, we need to endow the underlying ring with certain additional constructive properties. Two such properties we consider in detail, are . and .. A computable Noetherian ring with such properties will be referred to as a ..

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