Dumbass Posted October 19, 2014 Report Share Posted October 19, 2014 Post any mathematical fact u find intresting. I'll begin. Did you know that for the ring generated by z_n. Z_n= u(n) union 0 union k. Where k is the set of zero divisors? Proof sketch: Let A belong to z_n then if A can't be divided by n then it belongs to u (n). If it can, then if it's non 0 it divides n which implies a/n = z/Z where z, Z are integers hence , aZ=zn which implies aZ=0 thus a belongs to the set of zero divisors. Quote Link to comment Share on other sites More sharing options...
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