Ideal of finite colength: Difference between revisions
(New page: ==Definition== Let <math>R</math> be a local commutative unital ring. An ideal <math>I</math> inside <math>R</math> is said to be of ''finite colength''' if the fol...) |
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Latest revision as of 16:23, 12 May 2008
Definition
Let be a local commutative unital ring. An ideal inside is said to be of finite colength' if the following equivalent conditions are satisfied:
- is a local Artinian ring i.e. it has finite length
