In this question, rings are unital and associative by definition. I have read that there are $10$ commutative rings of order $8$, but I haven't found a concrete list of them. But I think that they are the following:
$\mathbb{F}_2 \times \mathbb{Z}/4$
$\mathbb{F}_2 \times \mathbb{F}_2 \times \ma...
i am just telling you the facts. you act like a super important mathematician, yet you are the only one having this opinion, and you don't know the basics of our subject
In this question, rings are unital and associative by definition. I have read that there are $10$ commutative rings of order $8$, but I haven't found a concrete list of them. But I think that they are the following:
$\mathbb{F}_2 \times \mathbb{Z}/4$
$\mathbb{F}_2 \times \mathbb{F}_2 \times \ma...