Let power products in R[x, y, z] have order lex where z < y < x. If

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Let power products in R[x, y, z] have order lex where z < y < x. If possible, perform a single-step division algorithm reduction that changes the given ideal basis to one having smaller maximum term order.

(xy2 - 2x, x2y + 4xy, xy - y2)

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