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PolynomialIdeals[EliminationIdeal] - eliminate variables from an ideal (subring intersection)
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Calling Sequence
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EliminationIdeal(J, X)
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Parameters
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J
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polynomial ideal
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X
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set of subring variable names
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Description
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The EliminationIdeal command eliminates variables from an ideal using a Groebner basis computation. The result of EliminationIdeal(J, X) is the intersection of the ideal J with the subring ![k[X]](/support/helpjp/helpview.aspx?si=8509/file02584/math55.png) .
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Note: You cannot use the Intersect command to compute this result. For any variables X, the polynomial ring ![k[X]](/support/helpjp/helpview.aspx?si=8509/file02584/math67.png) is represented by the ideal  , and Intersect(J, <1>) = J.
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The EliminationIdeal command can be used to perform nonlinear elimination on a general set of relations. This is demonstrated below.
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Examples
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In this example, we use EliminationIdeal to derive trigonometric identities algebraically, starting from an ideal of known relations. The trigonometric functions are enclosed in backquotes to prevent Maple from recognizing them.
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Download Help Document
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