Show that {xy, y 2 - y) is a Grobner basis for (xy, y 2 - y),
Question:
Show that {xy, y2 - y) is a Grobner basis for (xy, y2 - y), as asserted after Example 28.9.
Data from Example 28.9.
By division, reduce the basis {xy2, y2 - y} for the ideal I = (xy2, y2 - y) in R[x, y] to one with smaller maximum term size, assuming the order lex with y < x.
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Let N xy y 2 y g 1 g 2 By Theorem 2812 we need to show that Sg 1 g 2 yxyxy 2 y xy can be reduced ...View the full answer
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