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.

[edit] See also

• integral extension