So if a binary operation * is defined as a*b= a+b+2 ( mod 3), a b integers
Are possible identity elements, 1,4,7 10 etc or must the identity element be restricted to under 3?
In other words when we use a number greater than 3 we don't get our original number out but a congruent number and do congruent numbers satisfy the identity element requirement?
Any thoughts?
Are possible identity elements, 1,4,7 10 etc or must the identity element be restricted to under 3?
In other words when we use a number greater than 3 we don't get our original number out but a congruent number and do congruent numbers satisfy the identity element requirement?
Any thoughts?