Difference between revisions of "Package sagbi/SB.IsSAGBIOf"
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<short_description>This function checks whether a given list of polynomials is a SAGBI basis of a specific subalgebra.</short_description> | <short_description>This function checks whether a given list of polynomials is a SAGBI basis of a specific subalgebra.</short_description> | ||
| − | <syntax>SB.IsSAGBIOf(G: LIST of POLY, S: TAGGED( | + | <syntax>SB.IsSAGBIOf(G: LIST of POLY, S: TAGGED(<quotes>$apcocoa/sagbi.Subalgebra</quotes>)): BOOL</syntax> |
<description> | <description> | ||
<itemize> | <itemize> | ||
Revision as of 13:43, 28 October 2020
| This article is about a function from ApCoCoA-2. If you are looking for the ApCoCoA-1 version of it, see ApCoCoA-1:SB.IsSagbiOf. |
SB.IsSAGBIOf
This function checks whether a given list of polynomials is a SAGBI basis of a specific subalgebra.
Syntax
SB.IsSAGBIOf(G: LIST of POLY, S: TAGGED(<quotes>$apcocoa/sagbi.Subalgebra</quotes>)): BOOL
Description
@param G A list of polynomials all of the same ring R
@param S A subalgebra of R
@return true if G is a SAGBI basis of S and false if not.
Example
Use R ::= QQ[x,y]; fs := [x^2*y, x^2 -y^2, x^2*y^2 -y^4, x^2*y^4]; S := SB.Subalgebra(R,fs); G := [x^2 -y^2, x^2*y, x^2*y^2 -y^4, y^6, x^2*y^4]; SB.IsSAGBIOf(fs,S); -- false SB.IsSAGBIOf(G,S); -- true
See also
