I was looking over some examples of congruence classes and I ran into one I could not find.
1. Is there/Are there a congruence class(es) in ? If so, what are they? I'm not sure if they exist or not even.
2. If is a quadratic integer in , then a notion of congruence can be defined. How can this be defined how can we further define +, -, and x for congruences classes?
Thank you everyone!