Compute the Quotient: [Z+Z]/[2Z+2Z]

[WWGD]

Hi All:

We know that the quotient $\mathbb Z /2\mathbb Z$ ~ $\mathbb Z/2$ . Is there a nice

way of computing the quotient : $[\mathbb Z(+) \mathbb Z ]/[ 2\mathbb Z(+)2\mathbb Z]$

I know the long way, but I wonder if there is a nicer, shorter way to do it.

Thanks.

 

[micromass]

http://www.proofwiki.org/wiki/Quotient_Group_of_Direct_Products

 

[WWGD]

Thanks.