Krullring

A Krull ring (after Wolfgang Krull ) is an integral domain A with the following property:

There is a set M whose elements are discrete valuation rings of the quotient field K: = Quot (A), so that the following two conditions are met:

• For each of A, there are only finitely many valuation rings of M is contained in their respective maximal ideal. ( Rating rings are local rings, ie they have only one maximal ideal )

The first condition is: A is the average of the evaluation rings M.

• Ring ( algebra)
• Commutative Algebra