How many rings are there of order 4 up to isomorphism

Asked Jun 08 '18 at 18:41

Active Jun 08 '18 at 21:22

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How many rings of order 4 can exist upto isomorphism

there are only two groups $Z_4$ and $K_4$ upto isomorphism where $Z_4$ is abelian and $K_4$ is non-abelian.To be a ring that must be a abelian group under one binary operation.Can it be say that $Z_4$ is only ring of order 4 upto isomorphism

edited Jun 08 '18 at 21:22

bof

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asked Jun 08 '18 at 18:41

Epsilon Delta

What about the field of order $4$? – Angina Seng Jun 08 '18 at 18:42
All groups of order $4$ are abelian... Maybe you meant that $K_4$ is not cyclic. – Viktor Vaughn Jun 08 '18 at 21:28

How many rings are there of order 4 up to isomorphism

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