- #1
chivhone
- 2
- 0
How do you proove what the idempotents of the ring Z/100Z are?
I know by trial and error that they are the elements 0,1,25,76 but have no proof as to why this is.
i know i have to find the integers 'a' such that 100 divides a(a-1)=a^2 -a but can do the maths to get a proper reasoning
any help?
thanks
I know by trial and error that they are the elements 0,1,25,76 but have no proof as to why this is.
i know i have to find the integers 'a' such that 100 divides a(a-1)=a^2 -a but can do the maths to get a proper reasoning
any help?
thanks