Consider the following theorem (called the Quotient-Remainder Theorem): Let n, de Z where d > 0. There exists unique q,
Posted: Mon Jul 11, 2022 10:29 am
Consider the following theorem (called the Quotient-Remainder Theorem): Let n, de Z where d > 0. There exists unique q, r EZ so that n = qd+r, 0<r<d. Define Zd {0, 1,..., d-1} and given a, b € Za, define a + b = r where a+b= qd+r, 0 <r<d. Show that Za is a group under addition.