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15
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Linear algebra over a non-free f.g. module

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#linear-algebra #reference-request #commutative-algebra #soft-question #modules
978
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The set of sectios of a vector bundle is a module

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#modules #vector-bundles
58
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Why $\theta$ is an $A$-isomorphism from $_AA$ to $(A_A)^*$?

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#linear-algebra #abstract-algebra #modules
123
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Multiplicity is always positive

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#commutative-algebra #modules #hilbert-polynomial
54
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If $f(a)=a.m$ why $f$ is a surjective function?

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#abstract-algebra #modules
782
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If a module is the direct sum of two copies of itself, are there conditions that ensure that it's zero?

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#commutative-algebra #modules #direct-sum
72
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Jacobson Density for non unital rings?

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#modules #noncommutative-algebra
123
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How can I prove that $(m_1+m_2)\otimes n=m_1\otimes n+m_2\otimes n$?

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#abstract-algebra #modules #tensor-products
560
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The difference between $\prod$, $\coprod$, $\bigoplus$, and $\sum$ (especially in the category **R-Mod**)

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#abstract-algebra #category-theory #modules
50
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If $M\cong \bigoplus_{i=1}^n M_i$, then $M=\sum_{i=1}^n M_i$

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#abstract-algebra #modules
179
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The number of submodule in Semisimple module

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#abstract-algebra #modules
435
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Kernel of the tensor product of maps

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#abstract-algebra #modules #tensor-products
66
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$\frac{A}{B}\otimes_C D\cong \frac{A\otimes_C D}{B\otimes_C D}$?

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#modules #tensor-products #flatness
50
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Congruence modulo $n$ - Solving equations when having a big $n$

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#modules #congruences
109
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Support of a module of homomorphisms

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#abstract-algebra #commutative-algebra #modules #maximal-and-prime-ideals #injective-module

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