# How does one compute the number of ring homomorphisms

1. Jan 23, 2006

How does one compute the number of ring homomorphisms from $$\mathbb{Z}_2^n$$ to $$\mathbb{Z}_2^m$$? Or, likewise, the number of linear mappings on those two vector spaces?

2. Jan 24, 2006

### matt grime

By doing it. Pick a basis in one and work it out by hand. As vector spaces it's very easy, since it is just a finite set of matrices.

3. Jan 24, 2006