Książka Standard Bases and Primary Decomposition Afshan Sadiq

Standard Bases and Primary Decomposition

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

Autor: Afshan Sadiq
Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
181.85
The theory of standard bases in polynomial rings with coefficients in a ring with respect to local o...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2011
strony
104
EAN
9783846598528
Enbook ID
07083103
Waga
171
Wymiary
150 x 220 x 6

Pełny opis

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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