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15
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Can the length of a module be seen as a specific Krull-dimension?

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#algebraic-topology #commutative-algebra #modules
76
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Is $\text{Hom}_{\mathbb Z[G]}(M,\mathbb Z[G])$ finitely generated?

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#commutative-algebra #modules #finitely-generated
93
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finite spanning set of free module implies bound on rank

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#abstract-algebra #modules
218
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Prime submodules of $\mathbb{Z}×\mathbb{Z}$ as $\mathbb{Z}$-module

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#ring-theory #modules
184
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Basis for free module of infinite rank

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#abstract-algebra #modules
303
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Two definitions of graded modules, are they equivalent?

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#abstract-algebra #modules #graded-rings #graded-modules
385
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Direct Limit of Both Rings and Their Modules

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#commutative-algebra #modules #limits-colimits
73
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$m\mathbb{Z}\cdot \mathbb{Z}/n\mathbb{Z}$

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#abstract-algebra #modules #tensor-products
103
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Krull dimension of a module and isomorphisms

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#abstract-algebra #modules #krull-dimension #module-isomorphism
31
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C-modules via a map

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#modules
214
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Splitting homomorphism implies splitting sequence

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#abstract-algebra #modules
469
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Universal enveloping algebra

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#modules #lie-algebras #universal-property
177
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Quotient by powers of prime in a principal ideal domain

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#abstract-algebra #modules #principal-ideal-domains
54
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Image of induced homomorphisms, with different differentials

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#abstract-algebra #algebraic-topology #modules #homological-algebra
49
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Do we have a notion of $G-$module where $G$ is only a group without a ring structure?

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#abstract-algebra #group-theory #modules

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