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15
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Faitfully flatness over $B$ and flatness over $A$ equivalence

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#commutative-algebra #modules #flatness
150
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$Rx$ is a simple module

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#ring-theory #modules
1.7k
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Is simple module over commutative ring always a field?

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#ring-theory #modules
150
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Freely generated modules and bases

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#abstract-algebra #modules
204
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A question about $rad(M)$

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#abstract-algebra #modules #noncommutative-algebra
228
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Why quotient ring of intersection of annihilators for a Jacobson ring is Jacobson?

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#commutative-algebra #modules
41
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A question on decomposition of modules

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#abstract-algebra #modules #noncommutative-algebra #direct-sum
474
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Problem with first isomorphism theorem for modules

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#abstract-algebra #modules
814
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Why for every prime ideal there exists a submodule such that annihilator of submodule is this prime ideal?

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#commutative-algebra #modules #maximal-and-prime-ideals
781
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If $N$ is semisimple and and $M/N$ semisimple then $M$ semisimple?

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#abstract-algebra #ring-theory #modules #representation-theory #algebras
1k
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Module homomorphism question

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#commutative-algebra #modules
1.5k
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Is the $k$-algebra $k[G]$ semisimple?

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#modules
88
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Cartesian product of projective system

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#abstract-algebra #commutative-algebra #modules
126
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Inclusion $\mathbb{Q} \hookrightarrow \mathbb{R}$ induces an injection in scalar extensions

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#abstract-algebra #ring-theory #modules #tensor-products
79
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What is the module structure here?

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#abstract-algebra #modules #tensor-products

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