homogeneous function

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

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

See also

- Wikipedia,
*Homogeneous function*

Created on November 23, 2017 at 07:14:32. See the history of this page for a list of all contributions to it.