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Tensor products of $FG$-modules and tensor products of representations

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#abstract-algebra #modules #representation-theory #tensor-products
145
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Can multiplication of two scalars result in zero?

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#modules
179
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Double quotient isomorphic to tensor product

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#abstract-algebra #ring-theory #modules #tensor-products #quotient-spaces
114
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Vector space basis theorem, can it be generalized to R-modules?

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#linear-algebra #abstract-algebra #ring-theory #vector-spaces #modules
10.3k
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How to find the Jordan canonical form of tensor products.

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#linear-algebra #matrices #modules #tensor-products #jordan-normal-form
1.1k
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Endomorphism ring of infinite dimensions vector space

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#abstract-algebra #ring-theory #modules #noncommutative-algebra
967
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Is every module a direct summand of a free module?

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#modules
342
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Natural exact sequence associated to a group/module filtration

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#group-theory #modules #homological-algebra #exact-sequence
47
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Proving $L(R,R) \otimes L(R,R) \cong L(R \otimes R , R \otimes R)$.

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#category-theory #modules #proof-explanation #ring-homomorphism
117
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What is this problem asking for? "Prove that the residue of $A$ in $R/P$ has rank $1$ for every prime ideal $P$ of $R$"

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#abstract-algebra #matrices #ring-theory #modules #ideals
115
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Am I interpreting Artin Theorem 14.9.1 correctly?

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#abstract-algebra #matrices #modules
46
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Largest ring over which a particular abelian group becomes a module

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#abstract-algebra #ring-theory #modules #ring-homomorphism
217
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What is meant by 'scalars in modules'?

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#ring-theory #field-theory #modules #scalar-fields
26
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Can we find a basis $B$ of $M$ such that $|B|=1$?

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#abstract-algebra #matrices #ring-theory #modules
462
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If M a R-module then M is naturally a R/Ann(M)-Module

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#modules

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