polynomial of a regular chain with specified main variable
Polynomial(v, rc, R)
variable of R
regular chain of R
The command Polynomial(v, rc, R) returns the polynomial of rc with main variable v, otherwise an error is produced.
This command is part of the RegularChains[ChainTools] package, so it can be used in the form Polynomial(..) 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][Polynomial](..).
R := PolynomialRing([x, y, z]);
T := Empty(R):
T := Chain([(z+1)*(z+2), y^2+z, (x-z)*(x-y)], T, R);
p1 := Polynomial(x, T, R);
p2 := Polynomial(y, T, R);
p3 := Polynomial(z, T, R);
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