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Module Structure Induced by Quotient Ring

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#abstract-algebra #ring-theory #modules
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$\mathbb Z_n$ as a semisimple $\mathbb Z_m$-module

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#abstract-algebra #ring-theory #modules #definition
41
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$M$ Admitting A $\Bbb{Z}_n$-module structure and $Exp(M)$

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#abstract-algebra #ring-theory #modules
289
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A question about projective modules and free modules.

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#modules #direct-sum #projective-module #free-modules
119
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What is $\text{End}_\mathbb{Z}(\mathbb{R})$?

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#abstract-algebra #ring-theory #modules
57
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Free $R-module$ over an integral domain R that is not a field has finite length iff it is $0-module$

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#modules
94
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If a group (or module) admits a finite composition series,is it possible that it has normal series (submodule series) of arbitrary length?

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#group-theory #modules
883
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Product of sheaf of ideals

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#algebraic-geometry #modules #ideals #sheaf-theory
104
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Difficulties with "old" definitions

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#abstract-algebra #group-theory #modules #division-ring
1k
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Dual basis for projective module

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#ring-theory #commutative-algebra #modules
789
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Rank of free module and its free submodule

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#ring-theory #commutative-algebra #modules
222
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Definition of free module.

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#abstract-algebra #modules #free-modules
123
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Induced homomorphism of a dominating map

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#algebraic-topology #modules #homology-cohomology #covering-spaces #fundamental-groups
91
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Does a finitely generated module have finitely many direct summands, up to isomorphism?

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#modules
117
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Factor of the product of rings cannot be free module?

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#abstract-algebra #modules #free-modules

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