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Exact sequences of projective modules

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#modules #exact-sequence #projective-module
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Non-zero maps between modules

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#abstract-algebra #ring-theory #modules
212
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Application of the structure theorem for finitely generated modules over a PID

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#abstract-algebra #ring-theory #modules #quotient-spaces
45
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Is it true that $M\otimes_A F\simeq M^{(I)}$?

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#abstract-algebra #modules #tensor-products
70
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Is there an example such that $\text{rank}(A^t)\neq \text{rank}(A)$?

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#abstract-algebra #modules #examples-counterexamples
113
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Isomophisms of modules

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#modules #homological-algebra
891
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Properties of tensor product of modules

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#abstract-algebra #modules #tensor-products
1k
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Tensor product of modules and being torsion-free

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#modules #homological-algebra
1.5k
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Equivalent condition for split exact sequence

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#abstract-algebra #modules
180
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Module of homomorphisms as injective module

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#modules #homological-algebra #injective-module
120
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Countable submodule of free module

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#modules #injective-module
107
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Uncountable injective submodule of quotient module of product of free modules

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#modules #injective-module
263
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Definition of tensor product using pushout.

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#abstract-algebra #modules #tensor-products
2.1k
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What is the importance of modules in algebraic geometry?

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#algebraic-geometry #commutative-algebra #soft-question #modules
123
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Why is $Ind^G_H(M)=Ind^{G/H}_{\{e\}}$?

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#abstract-algebra #modules #representation-theory #noncommutative-algebra #group-rings

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