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RegularChains[ChainTools][IsAlgebraic] - test if a variable is algebraic with respect to a regular chain
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Calling Sequence
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IsAlgebraic(v, rc, R)
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Parameters
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v
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variable of of R
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rc
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regular chain of R
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R
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polynomial ring
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Description
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The command IsAlgebraic(v, rc, R) returns true if v is algebraic with respect to rc, false otherwise.
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This command is part of the RegularChains[ChainTools] package, so it can be used in the form IsAlgebraic(..) only after executing the command with(RegularChains[ChainTools]). However, it can always be accessed through the long form of the command by using RegularChains[ChainTools][IsAlgebraic](..).
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Examples
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![R := PolynomialRing([x, y, z, t])](/support/helpjp/helpview.aspx?si=5377/file06445/math94.png)
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![T := Chain([(z+1)*(z+2), y^2+z, (x-z)*(x-y)], T, R)](/support/helpjp/helpview.aspx?si=5377/file06445/math109.png)
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![[x^2+(-y-z)*x+z*y, y^2+z, z^2+3*z+2]](/support/helpjp/helpview.aspx?si=5377/file06445/math119.png)
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