 I-adic topology

The $I$-adic topology on a module $M$ has the powers $I^{n}M$ as a neighbourhood basis of zero. It is generated by the I-adic filtration; separatedness means ${\bigcap }_n{I}^{n}M=0$.

The \(I\)-adic topology is a concept from algebraic number theory and algebraic geometry that generalizes the notion of topology in the context of ideals in rings, specifically in relation to \(p\)-adic numbers.