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a tensor r is zero

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#ring-theory #modules
54
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In non-semisimple category $M \otimes N \not\cong N \otimes M$?

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#abstract-algebra #modules #representation-theory #quantum-groups
94
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Map induced by inclusion has image $0$

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#abstract-algebra #modules #ideals
234
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Isomorphism of Hom sets

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#abstract-algebra #modules #ideals
26
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Is a function whose mapping requires elements in the form $re\in Re$ well defined?

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#abstract-algebra #functions #modules
258
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Showing that a map is $R$-bilinear

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#abstract-algebra #ring-theory #modules
43
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Let $R$ a ring and $M$ be an $R-$module freely generated by a set $X$, and let $Y$ be a subset of $X$. Show that $Y$ freely generates $RY$

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#abstract-algebra #modules #finitely-generated #free-modules
323
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Let $R$ be a right noetherian ring. Then every injective envelope is a direct sum of indecomposable modules.

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#abstract-algebra #ring-theory #modules #noetherian #injective-module
1.1k
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Hom sequence exact implies sequence exact

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#modules #exact-sequence #functors
168
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Show $\phi(B)/\phi(A)\cong B/A\oplus(B\cap\ker\phi)$

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#proof-verification #modules #direct-sum #module-isomorphism
248
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Show a module is isomorphic to a direct sum of $\alpha N$, where $N$ is a minimal ideal

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#abstract-algebra #modules
272
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Associated primes of a submodule and a factor module

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#abstract-algebra #commutative-algebra #modules #proof-explanation
368
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Going from $\mathbb Z_2 \times ... \times \mathbb Z_3$ to $\mathbb Z_n \oplus \mathbb Z_m$

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#abstract-algebra #proof-verification #modules
1.2k
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Torsion Modules Annihilators

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#abstract-algebra #modules #principal-ideal-domains #torsion-groups
56
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Torsion in an $R$-module

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#abstract-algebra #modules

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