Find a Grobner basis for the given ideal in R[x, y]. Consider the order of power products

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Find a Grobner basis for the given ideal in R[x, y]. Consider the order of power products to be lex with y < x. If you can, describe the corresponding algebraic variety in R[x, y].

(x²y - x - 2,xy + 2y - 9)

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 05:26 AM

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Find a Grobner basis for the given ideal in R[x, y]. Consider the order of power products

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Adding x2nd to the 1st we get 2xy 8x 2 xy 2y 9 Adding 22nd to the 1st yields 8x 4y 20 xy 2y 9 2x y 5 ...View the full answer

A First Course In Abstract Algebra

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