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Fintiely Generated Modules Over PID

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#abstract-algebra #modules #finitely-generated #module-isomorphism
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Quotient Modules and their Direct Sum

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#abstract-algebra #modules #direct-sum #module-isomorphism
568
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Short Split Exact Sequence Theorem

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#abstract-algebra #modules #exact-sequence #module-isomorphism
102
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Krull dimension of a module and isomorphisms

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#abstract-algebra #modules #krull-dimension #module-isomorphism
34
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Question about isomorphism of direct sums (Step needed to show uniqueness of Elementary Divisors Theorem)

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#abstract-algebra #ring-theory #principal-ideal-domains #free-modules #module-isomorphism
147
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Prove two groups are isomorphic

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#group-isomorphism #module-isomorphism
497
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Prove the direct sum of modules is isomorphic

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#abstract-algebra #modules #module-isomorphism
33
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Proving certain map is a k-linear isomorphism between $M^*\otimes N$ and $Mod_k(M,N)$

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#vector-spaces #tensor-products #module-isomorphism
35
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Prove the modules isomorphism theorem

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#vector-spaces #modules #vector-space-isomorphism #module-isomorphism
34
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A problem about isomorphism and submodules

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#abstract-algebra #modules #module-isomorphism
79
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Proof of the isomorphism $A\otimes_{K} M_{n}(K)\cong M_{n}(A)$

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#abstract-algebra #tensor-products #module-isomorphism
54
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Showing a matrix is 1-1

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#linear-algebra #vector-space-isomorphism #module-isomorphism
326
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Describe all $R$-modules of low order (up to isomorphism)

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#abstract-algebra #modules #module-isomorphism
141
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surjective homomorphism between free abelian groups and first isomorphism theorem

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#abstract-algebra #group-isomorphism #group-homomorphism #free-abelian-group #module-isomorphism
152
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Colon ideal and Cyclic modules

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#linear-algebra #abstract-algebra #modules #quotient-group #module-isomorphism

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