ass4_1 - G and r is reduced with respect to G . Prove that...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 335 001 Computational Algebra Winter 2006 Assignment 4.1 Grobner Basis Solve the following problems from the notes on Grobner basis: 1) 1.5.4 (page 32). 2) 1.5.5 (page 32). 3) 1.6.1 (page 36). 4) Let G and G 0 be two Grobner bases for an ideal I k [ X ] with respect to a fixed term order. Let f k [ X ]. Assume that f * G r and f * G 0 r 0 where r is reduced with respect to
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: G and r is reduced with respect to G . Prove that r = r . 5) Find a Grobner basis for an ideal I = h x 2 y + z,xz + y i Q [ x,y,z ] with respect to deglex with x > y > z . 6) Verify if a polynomial f = x 3 y + 3 xz + 2 x 2 y 2 + 2 yz + 2 y belongs to the ideal I above....
View Full Document

This note was uploaded on 02/20/2011 for the course MATH 335 taught by Professor Miasnykov during the Fall '06 term at McGill.

Ask a homework question - tutors are online