# Package sagbi/SB.GetInDeg

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< Package sagbi

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

## SB.GetInDeg

This function computes a vector space basis of a homogeneous component of a given degree of a given standard-graded subalgebra.

### Syntax

SB.GetInDeg(S: TAGGED("$apcocoa/sagbi.Subalgebra"),d: INT): LIST of POLY

### Description

This function computes a vector space basis of the set `{f in S | deg(t) = d for all t in the support of f}`, i.e. the set of all homogeneous polynomials in `S` of degree `d`.

@param

`S`A standard graded subalgebra, i.e. a subalgebra generated by homogeneous polynomials@param

`d`The desired degree@return A vector space basis of

`S_d`

#### Example

Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,y+z]); PrintLn SB.GetInDeg(S,3); -- [y^3 +3*y^2*z +3*y*z^2 +z^3, x^2*y +x^2*z]

### See also

Package sagbi/SB.GetTruncSAGBI