ABSTRACT

I-adic topology A topology that endows a ring (module) with the structure of a topological ring (module). Let I be an ideal in a ring R and let M be an R-module. The I-adic topology on M is formed by taking the cosets x+ InM, x ∈ M, n a positive integer, as a base of open sets. The I-adic topology on R is formed by letting M = R.