Depth (ring theory)

From Wikipedia, the free encyclopedia

You have new messages (last change).

If A is a local ring and M is an A-module (mathematics), the depth of M is the maximum length of a regular sequence x_1, \dots, x_r for M with all x_i \in \mathfrak{m}, the maximal ideal of A.


This algebra-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../d/e/p/Depth_%28ring_theory%29.html"