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projective module which is a submodule of a finitely generated free module

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#commutative-algebra #modules #projective-module #finitely-generated #free-modules
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Flat modules over a PID

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#abstract-algebra #modules #projective-module #flatness #free-modules
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On the generators of free $R$-modules.

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#abstract-algebra #modules #free-modules
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Is the linear dual of a cyclic $K[G]$-module $K[G]$-cyclic

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#representation-theory #dual-spaces #free-modules
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Is the quotient of a tensor product by a group a free module

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#commutative-algebra #tensor-products #abelian-groups #group-actions #free-modules
306
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Cardinality of quotient group

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#linear-algebra #abstract-algebra #group-theory #free-modules
585
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Why is a Nonzero Ideal of $\mathcal{O}_K$ Free of Rank $n$?

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#abstract-algebra #modules #algebraic-number-theory #ideals #free-modules
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Splitting two exact sequences in a compatible way

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#abstract-algebra #commutative-algebra #modules #projective-module #free-modules
998
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When is every direct product of a ring also a free module?

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#abstract-algebra #commutative-algebra #modules #free-modules
105
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How does this commutative triangle arises in the idea of freely generated things?

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#category-theory #modules #free-modules
295
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A question about projective modules and free modules.

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#modules #direct-sum #projective-module #free-modules
230
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Definition of free module.

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#abstract-algebra #modules #free-modules
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Factor of the product of rings cannot be free module?

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#abstract-algebra #modules #free-modules
37
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Homomorphisms from copies of group algebra to $Z$

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#modules #free-modules
131
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example on equivariant cohomology

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#algebraic-topology #group-actions #free-modules

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