I like to remove my wedding ring when I am away from my wife, but I always make sure to put it back on when I come home.
Why would you do that, though? Won't your wife get suspicious?
My wife is always suspecting that I'm cheating on her.
It is wrong to hide things from your wife if she suspects something. You should try to be honest with her and be open.
Why? If I want to cheat, then I will. She doesn't need to know about it.
You are being dishonest with your wife every time you are out pretending that you are not married. If you are not happy in your marriage, then you should work things out or get a divorce, but don't hide things in your marriage.