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Why $R$ is semisimple ring iff every $R$-module is semisimple?

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#modules #semi-simple-rings
274
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Isomorphic $R$-module which are not isomorphic $R$-algebra

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#abstract-algebra #modules #representation-theory #hopf-algebras
34
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How do I calculate with tensors on modules?

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#modules #tensor-products
75
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Finite coproduct of finitely presentated objects is finitely presentated.

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#category-theory #modules #homological-algebra #abelian-categories
165
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$R$-module structure on finite group

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#abstract-algebra #finite-groups #modules #abelian-groups
200
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What are the free and torsion parts of $\mathbb{Z}\times\mathbb{Z}$, $\mathbb{Z}\times\mathbb{Z}_6$, and $\mathbb{Q}/\mathbb{Z}$?

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#abstract-algebra #modules #direct-product #torsion-groups
402
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Bialgebra and Hopf algebra

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#linear-algebra #abstract-algebra #modules #representation-theory #hopf-algebras
48
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What means "Take the tensor product with $\mathbb{Q}$ here?

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#modules #homology-cohomology #tensor-products
207
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On relationship of two categorical characterization of finitely generated objects.

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#abstract-algebra #category-theory #modules #abelian-categories #limits-colimits
46
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Problems with $End_k(V)$.

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#vector-spaces #modules
519
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Using a property to prove that Annihilator is maximal left ideal

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#abstract-algebra #modules
600
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When is a module isomorphic to a dual of another module?

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#commutative-algebra #modules #duality-theorems
1k
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Several questions about direct limit of rings

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#commutative-algebra #modules #limits-colimits
231
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Proposition 4.7 on Lang's semisimple rings part.

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#abstract-algebra #ring-theory #modules #semi-simple-rings
237
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Are direct products of simple modules co-semisimple?

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#abstract-algebra #modules #abelian-categories

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