# Contents

## Idea

A Gorenstein ring, $R$, is a commutative Noetherian local ring of finite injective dimension over itself. It follows then that its injective dimension is equal to $r$ = Krull dimension$(R)$, and that $Ext^{\ast}_R(k, R)$ is one dimensional as a $k$-vector space, where $k$ is the residue field of $R$.

## References

Created on April 4, 2017 at 04:38:42. See the history of this page for a list of all contributions to it.