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15
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row rank = column rank over a PID?

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#linear-algebra #modules #matrix-rank
80
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What are the module homomorphisms from $\mathbb Q$ to $\mathbb Z/2\mathbb Z$?

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#modules #group-homomorphism #ring-homomorphism
125
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Theorem 4, Section 4.2 of Hungerford’s Algebra

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#abstract-algebra #vector-spaces #proof-explanation #modules #free-modules
117
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Lemma 10, Section 4.2 of Hungerford’s Algebra

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#abstract-algebra #proof-explanation #modules #free-modules
82
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Understanding two facts about simple left modules

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#abstract-algebra #ring-theory #modules
69
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Extending a module epimorphism $\sigma: N \to M'$ to an epimorphism $\bar\sigma: M \to M'$ where $N\leq M$

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#abstract-algebra #solution-verification #modules
38
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Chain of kernels of maps induced from picking a basis of modules

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#modules #noetherian
73
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Totally isotropic subspace for bilinear pairing over ring

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#linear-algebra #ring-theory #vector-spaces #modules #bilinear-form
60
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Graded pieces are finitely generated as $R_0$-modules

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#commutative-algebra #modules #finitely-generated #graded-rings
129
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Exercise 17, Section 4.1 of Hungerford’s Algebra

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#abstract-algebra #modules #direct-sum
66
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Free summand of a module vs. finite direct sum of copies of it

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#commutative-algebra #modules #homological-algebra #projective-module
36
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modules over group algebra which has free submodules

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#modules
105
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Projective and free modules

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#commutative-algebra #modules #projective-module #free-modules #graded-rings
81
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Exercise 9, Section 4.2 of Hungerford’s Algebra

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#abstract-algebra #modules #direct-sum #free-modules
75
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Proving that $Rad ( \bigoplus_{i \in I} M_{i})= \bigoplus_{i \in I} Rad (M_{i})$

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#abstract-algebra #ring-theory #commutative-algebra #modules #homological-algebra

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