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Results tagged with artin-ring
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user 61949
Questions about rings satisfying the descending chain condition on ideals.
6
votes
Accepted
Structure theorem for artinian modules?
No, in general local finite dimensional commutative $K$-algebras are wild and their modules can not be classified. For example when $m$ is the maximal ideal and $m/m^2$ has $K$-dimension at least 3, t …
- 26.5k
1
vote
Accepted
Rings of finite uniserial type
It is an open problem which Artin algebras have only finitely many uniserial indecomposable modules.
This is stated for example as problem 2 in the open problems section in the book "Representation th …
- 26.5k