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Results tagged with modules
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user 345
For questions on modules over rings.
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
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