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15
78
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The stable category of $\mathbb{Z}$

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#abstract-algebra #ring-theory #abelian-categories #projective-module #stable-homotopy-theory
41
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Projective module on the ring of dual numbers

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#projective-module #injective-module
35
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Projective resolution of $\mathbb{Z}/p^n\mathbb{Z}$ on $\mathbb{Z}/p^k\mathbb{Z}$

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#projective-module
32
Views

Trouble understanding torsion

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#abstract-algebra #modules #homology-cohomology #homological-algebra #projective-module
121
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A finite abelian group $A$ can not be a projective $\mathbb{Z}$-module.

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#abstract-algebra #modules #abelian-groups #projective-module
109
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Show that if $Q$ is a non-trivial $\mathbb{Z}$-module, that is divisible, then $Q$ can not be a projective $\mathbb{Z}$-module.

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#modules #projective-module #free-modules
68
Views

Isomorphism of projective modules modulo nilpotent ideals.

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#commutative-algebra #modules #projective-module #algebraic-k-theory
88
Views

$P$ is projective implies $P℘$ is a free $R℘$-module

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#abstract-algebra #modules #projective-module #free-modules
93
Views

Schanuel's Lemma

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#exact-sequence #projective-module
45
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Is this Proof of Well-definedness Correct?

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#abstract-algebra #ring-theory #modules #exact-sequence #projective-module
16
Views

Show that the statements about module $M_R$ are equivalent.

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#modules #projective-module #module-isomorphism
16
Views

Double dual basis for projective modules

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#abstract-algebra #duality-theorems #projective-module
88
Views

Standard projective resolution of module of the path algebra

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#abstract-algebra #modules #representation-theory #projective-module #quiver
72
Views

How Should I Prove this Function is an Isomorphism?

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#abstract-algebra #modules #group-homomorphism #projective-module #injective-module
65
Views

Is this a valid proof of Well-definedness?

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#abstract-algebra #ring-theory #modules #projective-module #injective-module

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