Standard Bases and Primary Decomposition The F4-Algorithm for Euclidean Rings and Efficient Algorithm for Primary Decomposition over Rings
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- Englisch ausgewählt
Fr. 67.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
25.11.2011
Verlag
LAP LAMBERT Academic PublishingSeitenzahl
104
Maße (L/B/H)
22/15/0.7 cm
Gewicht
173 g
Auflage
1. Auflage
Sprache
Englisch
ISBN
978-3-8465-9852-8
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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