I'm starting to study on my own some basic group theory, maybe this is a very basic question, but I can't find any answer on the internet. I would like to know if the ring of integers modulo n, $\mathbb{Z_n}$, is an ordered ring.
For example, if $3,4\in\mathbb{Z_{10}}$, does it make sense the expression: $3<4$ in $\mathbb{Z}_{10}$?
If $\mathbb{Z_n}$, is an ordered ring: is there any equivalent definition of absolute value, like in the rings of integers $Z$?
Any help would be greatly appreciated.