Mathematical Facts

[Dumbass]

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.