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 + 1, xy² + y - 1)

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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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Let N x 2 y x 1 xy 2 y 1 g 1 g 2 Maximum term degree in the basis g 1 g 2 cannot be reduced further ...View the full answer

A First Course In Abstract Algebra

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