KARAKTERISTIK RING BILANGAN BULAT P-ADIC

Abstract

A p-adic integers is a formal series of a=?_a_iP^i  where 0?a_i?p-1 where the set of all p-adic numbers is denoted as Z_p. One of particular property of Z_p is (Z_p,+,?) is a commutative ring with identity element. In particular, in this research, we will prove that ring Z_p is an integral domain. Furthermore, we will investigate the form of unit element and also the form of all ideals in ring Z_p.