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Inferring classification of Clifford algebras from classification of Clifford modules

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#representation-theory #clifford-algebras #algebras #semi-simple-rings
57
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Semisimplicity implies separability for a perfect field

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#abstract-algebra #ring-theory #algebras #separable-extension #semi-simple-rings
78
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Linear combination of a character

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#abstract-algebra #representation-theory #noncommutative-algebra #characters #semi-simple-rings
91
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Example of a isosimple module which is not J-semisimple.

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#modules #semi-simple-rings
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Prove that a semi-simple module contains a simple sub-module.

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#semi-simple-rings
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On semisimple rings

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#abstract-algebra #modules #semi-simple-rings
2.8k
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What are the semisimple $\mathbb{Z}$-modules?

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#abstract-algebra #ring-theory #modules #semi-simple-rings
3.1k
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Examples of Semi-Simple Rings

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#semi-simple-rings
2.3k
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$R$ is semisimple iff it is Artinian and $J(R) = 0$

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#abstract-algebra #ring-theory #artinian #semi-simple-rings
3.3k
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why is a simple ring not semisimple?

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#modules #semi-simple-rings
1k
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Prove that $M$ is finitely generated and semisimple, if Artinian and the intersection of all maximal submodules is zero

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#abstract-algebra #modules #artinian #semi-simple-rings
381
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Question about Jacobson's proof of structure theorem for semi-simple Artinian rings

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#noncommutative-algebra #semi-simple-rings
501
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Book for semisimple rings.

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#reference-request #ring-theory #semi-simple-rings
731
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Is this matrix ring semisimple?

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#abstract-algebra #modules #semi-simple-rings
1k
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matrix ring Noetherian, Artinian, semisimple?

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#abstract-algebra #modules #noncommutative-algebra #noetherian #semi-simple-rings

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