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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?

Semiclassical
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user519955
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  • Just searching “positive characteristic infinite” yields the dupe and its duplicates. Please search first next time. – rschwieb Apr 04 '19 at 02:06

1 Answers1

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

Tsemo Aristide
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