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Results tagged with modules
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user 98863
For questions on modules over rings.
5
votes
When does the forgetful functor from modules to vector spaces have a right adjoint?
Hom is right adjoint to tensor product. Have you tried to write the forgetfull functor as $F(M)=R\otimes_R M$?
I didn't check the details, but I think you can do something like
$$Hom_k(Forget(M),W)= …
- 1,028
5
votes
2
answers
507
views
A question with simple and indecomposable modules
Assume $M$ is both noetherian and artinian and fix $S_0\subseteq M$ a simple submodule. How to prove that $S_0$ is contained in some indecomposable direct summand of $M$?
- 1,028
1
vote
Action is determined by a braiding
I recomend you the book by Lambe and Radford "Introduction to the Quantum Yang-Baxter equation and Quantum Groups - An Algebraic Aproach". I think you will find a good material related to your questio …
- 1,028