# Package sagbi/SB.IsInToricRing

From ApCoCoAWiki

< Package sagbi

Revision as of 12:12, 26 October 2020 by Andraschko (talk | contribs) (Created page with "{{Version|2}} <command> <title>SB.IsInToricRing</title> <short_description>This function checks whether a given polynomial is in a toric subalgebra.</short_description>...")

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