# Contents

## Definition

For $R$ some ring and $(N,(N_i))$ modules over this ring, a function

$f \;\colon\; N_1 \times \cdots \times N_n \longrightarrow N$

is homogeneous of degree $k$ if for all $r \in R$ we have

$f(r a_1, \cdots, r a_n) = r^k f(a_1, \cdots, a_n) \,.$