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Hopkins theorem

Type of Math Object: 
Theorem
Major Section: 
Reference

Mathematics Subject Classification

16P20 no label found16P40 no label found

Comments

I would like an outline of the proof

An outline of a proof would be interesting.

add the statement that every prime ideal is maximal after Noetherian.

add to statement of theorem if and only if it is noetherian and every
prime ideal is maximal.

A ring R with identity is left artinian if and only if it is left noetherian and every prime ideal is a maximal ideal.

A ring R with identity is artinian if and only if it is noetherian and every prime ideal is a maximal ideal

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