A regular local ring is a Local Ring with Maximal Ideal so that can be generated with exactly elements where is the Krull Dimension of the Ring . Equivalently, R is regular if the Vector Space has dimension .

**References**

Eisenbud, D. *Commutative Algebra with a View Toward Algebraic Geometry.* New York:
Springer-Verlag, p. 242, 1995.

© 1996-9

1999-05-25