... x p = am a b = x p np j np j p = p a b p bm p p p j Mt khỏc t nh lý v ph p chia cú d ta cú: = kp j + r , r < p j { j j Khi ú r x p = kp x p max x p , kp p }p j 12 j Vy s nguyờn ... s nguyờn p - adic l n v 1.2.11 Mnh S nguyờn p - adic a  p l n v v ch a0 0(mod p ) , k ú a = a0 + a1 p + a2 p + + ak p + , a j < p, j Ơ 1.2.12 H qu 14 Mi s p - adic cú dng = p m , ú m ... chỳng khụng cha ly tha õm ca s p nguyờn t p Mi phn t ca  a p p c gi l s nguyờn p - adic Vy a = a0 + a1 p + a2 p + + ak p k + , a j < p , j v a = a j p j suy a p = p m , ú m = { j : a j 0}...