# Package sagbi/SB.GetGens

From ApCoCoAWiki

< Package sagbi

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This article is about a function from ApCoCoA-2. |

## SB.GetGens

Returns a set of generators of a given subalgebra

### Syntax

SB.GetGens(S: TAGGED("$apcocoa/sagbi.Subalgebra")): LIST of POLY

### Description

This function returns a set `G` such that `S = K[g|g in G]` where `K` is the coefficient ring of `S`.

@param

`S`A subalgebra@return a set of generators of

`S`

#### Example

Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,y+z]); PrintLn SB.GetGens(S); -- [x^2, y +z]

### See also

Package sagbi/SB.GetTruncSAGBI