Non-Associative Rings

I recently did a course on Associative Rings. Do there exist non-Associative rings? I’d like to discuss certain examples here. I’m told that is one such ring, which is non-associative under the operation of vector product. In other words, $A\times (B\times C)\neq (A\times B)\times C$. After thinking about it for a bit, I found aContinue reading “Non-Associative Rings”