Finite Characteristic of a Ring

284 Views Asked by At

If $H$ is a ring and it has a finite non-zero characteristic $p$ then ring is finite.

I couldn’t any counter example for this claim. Can anyone help me please?

1

There are 1 best solutions below

1
On

Consider the ring of polynomials with coefficients in $\mathbb{Z}/p$ it has characteristic $p$ and it is infinite.