Ring extension
From Wikipedia, the free encyclopedia
In mathematics, more specifically in ring theory, a ring extension or extension ring is a ring R with a subring S. We write R/S and say R is a ring extension of S
Given a ring extension R/S and a two prime ideals P in R and p in S, we say P lies over p if P ∩ S = p.
[edit] Examples
- A field extension is a special case of ring extension.
