Difference between revisions of "Package sagbi/SB.IsInSA SAGBI"
From ApCoCoAWiki
Andraschko (talk | contribs) m (ref) |
m (replaced <quotes> tags by real quotes) |
| (One intermediate revision by one other user not shown) | |
(No difference)
| |
Latest revision as of 13:22, 29 October 2020
| This article is about a function from ApCoCoA-2. If you are looking for the ApCoCoA-1 version of it, see ApCoCoA-1:SB.IsInSubalgebra. |
SB.IsInSA_SAGBI
This function tests whether a polynomial is in a given standard-graded subalgebra.
Syntax
SB.IsInSA(f: RINGELEM,ref S: TAGGED("$apcocoa/sagbi.Subalgebra")): BOOL
Description
This function takes a polynomial f and a subalgebra S and tests whether f is an element of S using truncated SAGBI bases.
@param f A polynomial
@param S A standard-graded subalgebra, i.e. of type TAGGED("$apcocoa/sagbi.Subalgebra") and the generators of f are homogeneous polynomials with respect to the standard grading.
@return true if f is an element of S and false if not.
Example
Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,y+z]); f := x^4 +2*x^3*y +x^2*y^2 +x^2 +2*x*y +y^2; SB.IsInSA_SAGBI(f,ref S); -- true
See also
Package sagbi/SB.IsInSubalgebra
Package sagbi/SB.IsInSubalgebra_SAGBI
Package sagbi/SB.IsInToricRing
