Standard Bases and Primary Decomposition

Name: Standard Bases and Primary Decomposition
Brand: LAP Lambert Academic Publishing
SKU: 9783846598528
Price: 42.49 EUR
Availability: InStock

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

Autor: Afshan Sadiq

Jazyk:

Väzba: Brožovaná

Vydavateľ: LAP Lambert Academic Publishing

Dostupnosť: Skladom u dodávateľa

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42.49 €

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

Informácie o knihe

Autor

Afshan Sadiq

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2011

Stránok

104

EAN

9783846598528

Enbook ID

07083103

Vydavateľ

LAP Lambert Academic Publishing

Hmotnosť

171

Rozmery

150 x 220 x 6

Kompletný popis

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.

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Standard Bases and Primary Decomposition

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

Informácie o knihe

Kompletný popis

Mohlo by vás zaujímať

Zákazníci, ktorí si kúpili túto knihu, kúpili tiež