Standard Bases and Primary Decomposition

Name: Standard Bases and Primary Decomposition
Brand: LAP Lambert Academic Publishing
SKU: 9783846598528
Price: 967 CZK
Availability: InStock

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

Autor: Afshan Sadiq

Jazyk:

Vazba: Brožovaná

Vydavatel: LAP Lambert Academic Publishing

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

967 Kč

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

Informace o knize

Autor

Afshan Sadiq

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

104

EAN

9783846598528

Enbook ID

07083103

Vydavatel

LAP Lambert Academic Publishing

Hmotnost

171

Rozměry

150 x 220 x 6

Kompletní 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

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také