Is $\{a+bi: a,b \in \mathbb{Z} \} $ a ring with the usual operation of addition and multiplication?

Question

swissgirl · Answer

It needs to be closed under addition and multiplication which it seems like
Addition needs to be commutative and associative which is quite straightforward. 
It must have an identity element which I am not sure about
and it must have an additive inverse which I am also unclear about
Multiplication must be associative which it should be and then it must be distributive over addition meaning that a*(b+c)=a*b+a*c which i also think it is.

anonymous · Answer

ah, what?

swissgirl · Answer

lol someone answered it on stack exchange lol

anonymous · Answer

that's great, diversify

swissgirl · Answer

ya like noone really responds to my questions on here nemore:( so I had to go somewhere else

anonymous · Answer

because you ask hard question; we are used to" given two points , find the slope"