# ApCoCoA-1:BB.GenHomMultMat

From ApCoCoAWiki

## BB.GenHomMultMat

Compute a generic homogeneous multiplication matrix.

### Syntax

BB.GenHomMultMat(I:INT,OO:LIST):MAT

### Description

Computes the generic homogeneous multiplication matrix for <formula>x[I]</formula> with respect to an order ideal. The inputs are an integer I and a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is a matrix of size <formula>Mu<times/>Mu</formula> over the ring <formula>BBS=K[c_{ij}]</formula>.

@param

*I*The generic homogeneous multiplication matrix for the indeterminate x[I] will be computed.@param

*OO*A list of terms representing an order ideal.@return The generic homogeneous multiplication matrix for the indeterminate x[I] over the ring BBS=K[c_{ij}].