Question

additive group of residue classes module m​

Answer 1

Step-by-step explanation'-

The equivalence class of a modulo m is the set a= {a+ km I k E Z}. equivalence classes modulo m. If a = a' (mod m), b = b' (mod m), then a+ b = a' + b' (mod m), a·b = a'·b' (mod m). Hence we may define the addition and multiplication of equivalence classes: a + b = a + b, a · b = a · b.