Hey! You look like someone into Ring theory...
I'm not ashamed to admit it, I need help.
Let peace be on earth, let ashes fall to ashes, let R be a ring with every element x = x^3.
Please god tell me why R is commutative.
And no, don't give me a crappy answer, like for every a and b, ababaa = aabab. Because I got that on my own and I really don't think its the same. I need the real thing, ab=ba, and no, no Swedish junk.
Statement, proof, filled in little box.
I've worked really hard and thrown things at the whiteboard and went wandering around my halls looking for help but they're all engineering students and thus kind of weird and did all of my other homework and left plenty of time to ask other people but they all live in other places in the big campuses and I'm new here and the office hours were yesterday and I gave blood today so its all a little woozy.
I'm not greedy, I can take a little hint. I've tried multiplying by a on the left side, and on the right side, and it wasn't enough, but maybe I should do it backwards? Like multiply on the right side first? Or multiply z instead of a? Or...or...in German?
Show me a sign! Even if its negative, because then i can just stick it on the other side of the equal sign. But why would you do that anyway instead of just setting equal to 0 and canceling?
Let peace be on earth, let ashes fall to ashes, let R be a ring with every element x = x^3.
Please god tell me why R is commutative.
And no, don't give me a crappy answer, like for every a and b, ababaa = aabab. Because I got that on my own and I really don't think its the same. I need the real thing, ab=ba, and no, no Swedish junk.
Statement, proof, filled in little box.
I've worked really hard and thrown things at the whiteboard and went wandering around my halls looking for help but they're all engineering students and thus kind of weird and did all of my other homework and left plenty of time to ask other people but they all live in other places in the big campuses and I'm new here and the office hours were yesterday and I gave blood today so its all a little woozy.
I'm not greedy, I can take a little hint. I've tried multiplying by a on the left side, and on the right side, and it wasn't enough, but maybe I should do it backwards? Like multiply on the right side first? Or multiply z instead of a? Or...or...in German?
Show me a sign! Even if its negative, because then i can just stick it on the other side of the equal sign. But why would you do that anyway instead of just setting equal to 0 and canceling?