nLab
homogeneous function

Contents

Definition

For RR some ring and (N,(N i))(N,(N_i)) modules over this ring, a function

f:N 1××N nN f \;\colon\; N_1 \times \cdots \times N_n \longrightarrow N

is homogeneous of degree kk if for all rRr \in R we have

f(ra 1,,ra n)=r kf(a 1,,a n). f(r a_1, \cdots, r a_n) = r^k f(a_1, \cdots, a_n) \,.

Examples

References

See also

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