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Více informací o knize Standard Bases and Primary Decomposition

• Parametry knihy
• Anotace
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Anotace knihy

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.

Parametry knihy

• Plný název: Standard Bases and Primary Decomposition
• Podnázev: The F4-Algorithm for Euclidean Rings and Efficient Algorithm for Primary Decomposition over Rings
• Autor: Afshan Sadiq
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 104
• EAN: 9783846598528
• ID: 07083103
• Nakladatelství: LAP Lambert Academic Publishing
• Hmotnost: 171 g
• Rozměry: 220 × 150 × 6 mm
• Rok vydání: 2011

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