Package sagbi/SB.IsInToricRing

This article is about a function from ApCoCoA-2.

SB.IsInToricRing

This function checks whether a given polynomial is in a toric subalgebra.

Syntax

SB.IsInToricRing(f: RINGELEM, S: TAGGED("$apcocoa/sagbi.Subalgebra")): BOOL

Description

This function takes a polynomial f and a subalgebra S generated by a set of terms and checks whether f is a toric ring.

• @param f A polynomial

• @param S A subalgebra of RingOf(f)

• @return true if f is an element of S and false otherwise.

Example

Use R ::= QQ[x,y,z];
S := SB.Subalgebra(R,[x^2,x*y,y*z]);
f := x^5*y^3*z^2 + x^4*y^2*z^2;
SB.IsInToricRing(f,S);
-- true

See also

Package sagbi/SB.IsInSubalgebra

Package sagbi/SB.IsInSubalgebra_SAGBI

Package sagbi/SB.IsInSA

Package sagbi/SB.IsInSA_SAGBI