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Results tagged with modules
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user 345
For questions on modules over rings.
22
votes
Accepted
Are there any finitely generated artinian modules that are not Noetherian?
Certainly each composition is Artinian since subquotients of Artinian modules are Artinian. … Also one of the composition factors must be non-Noetherian since extensions of Noetherian modules by Noetherian modules are Noetherian. Thus, we may assume that $M$ is a cyclic $R$-module. …
- 3,545
4
votes
Accepted
Dual of a bimodule
Copied from comments as requested.
There isn't enough context in the question but if you know that $B$ is a projective left $R$-module and nothing else there is a fair chance that you want $\mathrm{H …
- 3,545