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Standard Bases and Primary Decomposition

Name: Standard Bases and Primary Decomposition
Brand: LAP Lambert Academic Publishing
SKU: 07083103
Price: 45.79 EUR
Availability: InStock
Author: Afshan Sadiq
ISBN: 9783846598528

The F4-Algorithm for Euclidean Rings and Efficient Algorithm for Primary Decomposition over Rings

Afshan Sadiq

Lingua

Inglese

Libro In brossura

Codice Libristo: 07083103

Casa editrice LAP Lambert Academic Publishing, novembre 2010

The theory of standard bases in polynomial rings with coefficients in a ring with respect to local o... Descrizione completa

Codice Libristo: 07083103

112 b

45.79 €

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The theory of standard bases in polynomial rings with coefficients in a ring with respect to local orderings is developed. Then the generalization of F4-Algorithm for polynomial rings with coefficients in Euclidean rings is given. This algorithm computes successively a Gröbner basis replacing the reduction of one single s-polynomial in Buchberger's algorithm by the simultaneous reduction of several polynomials. And finally we present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the rings. For this purpose we use algorithms for primary decomposition in polynomial rings over the rationals resp. over finite fields, and the idea of Shimoyama--Yokoyama resp. Eisenbud--Hunecke--Vasconcelos to extract primary ideals from pseudo-primary ideals.