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15
94
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Proving injectivity in a commutative diagram

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#commutative-algebra #modules #exact-sequence
57
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Calculate transcendence degree

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#abstract-algebra #ring-theory #modules
61
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Why we can identify $A$ with its image $f(A)$ in a short exact sequence?

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#abstract-algebra #modules
43
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Necessary and sufficient condition for a $ Z \oplus Z$ base

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#solution-verification #modules #integers #direct-sum
86
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Why is $ V \longrightarrow V: v \mapsto \pi(g)(v)$ an endomorphism of $G$-modules?

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#abstract-algebra #vector-spaces #modules #lie-groups #group-actions
49
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Is every additive map $R$-linear if $ℤ \to R$ is an epimorphism?

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#abstract-algebra #category-theory #modules #epimorphisms
50
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Computing the flat cover of a $\mathbb{Z}$-module.

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#abstract-algebra #ring-theory #commutative-algebra #modules #homological-algebra
112
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"sum" and "products of modules (non-finite case)

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#modules
53
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On which rings must a finitely generated module be finitely presented? Is there an 'if and only if' characterization for such rings?

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#ring-theory #modules #homological-algebra #noetherian #finitely-generated
127
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If $\varphi|_W$ and $\bar{\phi}$ are nonsingular prove that $\varphi$ is nonsingular.

Published on
#linear-algebra #abstract-algebra #ring-theory #vector-spaces #modules
33
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Comparing Elements of an Ideal in Different Module Structures

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#abstract-algebra #group-theory #ring-theory #modules
60
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Generating set for submodule of free module over a PIR

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#abstract-algebra #ring-theory #modules #finitely-generated #free-modules
37
Views

Computing the injective hull, the quasi-injective hull, the quasi-continuous hull

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#modules #injective-module
32
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Induced module is abelian

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#number-theory #modules #abelian-groups #normal-subgroups #profinite-groups
116
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How are submodules characterized with respect to the isomorphism of the direct sum of multiple modules?

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#ring-theory #modules #examples-counterexamples #direct-sum

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