# ApCoCoA-1:BB.HomBBscheme

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## BB.HomBBscheme

Computes the defining equations of a homogeneous border basis scheme.

### Syntax

BB.HomBBscheme(OO:LIST):IDEAL

### Description

Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.

@param

*OO*A list of terms representing an order ideal. The second element of`OO`must be a non-constant polynomial.@return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring

`BBS=K[c_{ij}]`.