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Injection and surjection to a finite dimensional free module

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#abstract-algebra #ring-theory #modules #free-modules
31
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Constructing a bi-linear map relating Tensor Product "like" object to a module for ANY subgroup of a free group defined by relations using only +?

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#abstract-algebra #modules #tensor-products #group-homomorphism #free-modules
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Free resolution of $\mathbb{Z}/2\mathbb{Z}$ as $\mathbb{Z}/4\mathbb{Z}$-module

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#homological-algebra #free-modules
119
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Hartshorne Lemma II 8.9.

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#abstract-algebra #tensor-products #exact-sequence #free-modules
115
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Making the module structure trivial

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#abstract-algebra #group-theory #modules #quotient-group #free-modules
260
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Pure (sub)module (in $M$)

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#modules #systems-of-equations #free-modules
306
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$S$ subring of $R$ implies $\mathrm{rank}_R M\leq \mathrm{rank}_S M$?

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#abstract-algebra #ring-theory #free-modules
733
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Basis of a free submodule of a free module

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#modules #free-modules
68
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Is Restriction of Scalars of $S^n$ free?

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#modules #free-modules
108
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Etymology of Free Modules

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#modules #free-modules
92
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Projective Modules, Definition and Etymology

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#modules #projective-module #free-modules
23
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Profinite free modules and intersections

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#continuity #free-modules #profinite-groups
1.1k
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Uniqueness of Rank of Free Module

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#modules #free-modules
98
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Is $f$ an isomorphism?

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#linear-algebra #ring-theory #commutative-algebra #modules #free-modules
87
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What is the rank of $\mathbb{Z}[i] \otimes_{\mathbb{Z}[i]} \mathbb{Z}[i]$ as $\mathbb{Z}$-module?

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#abstract-algebra #commutative-algebra #tensor-products #free-modules

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