List questions from semi-simple-rings

Published on 20 Sep 2020 - 6:40

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module over matrix ring

Published on 14 Oct 2020 - 16:34

213

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Artin-Wedderburn: Decomposition of a semisimple Dual Hopf algebra

Published on 29 Oct 2020 - 13:47

132

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Concept and decomposition of semisimple rings

Published on 02 Nov 2020 - 16:27

87

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We have $\pi(R) = \operatorname{End}_\mathbb{C}(V)$ is simple?

Published on 08 Nov 2020 - 21:32

343

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Is a $R \otimes S$-module of the form $V \otimes W$ with $V$ simple $R$-module and $W$ simple $S$-module a simple module?

Published on 09 Nov 2020 - 1:40

205

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A semisimple ring has only finitely many isomorphism classes of simple modules

Published on 22 Nov 2020 - 18:02

279

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Why does the set of submodules of a module that are direct sums of irreducible submodules have a maximal element?

Published on 12 Dec 2020 - 20:56

487

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If A is semisimple algebra then every A-module is completely reducible

Published on 18 Dec 2020 - 23:53

81

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A simple module isomorphism in Wedderburn theory

Published on 22 Dec 2020 - 6:55

104

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R is not Artinian but R/J is semisimple

Published on 05 Feb 2021 - 19:50

72

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Jacobson Radical of integer matrices

Published on 09 Feb 2021 - 4:56

138

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Let V be an infinite dimensional vector space over a division ring D. The Set F={θ:V→V: Im(θ) is a finite dimensional subspace of V} is a simple ring.

Published on 23 Feb 2026 - 8:28

444

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A simple ring which is not semisimple

Published on 28 Mar 2021 - 22:14

498

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Semi-simple rings and fields.

Published on 08 Apr 2021 - 22:54

List Question

What is dimension of $Z(R)$ as a $k$ vector space?

module over matrix ring

Artin-Wedderburn: Decomposition of a semisimple Dual Hopf algebra

Concept and decomposition of semisimple rings

We have $\pi(R) = \operatorname{End}_\mathbb{C}(V)$ is simple?

Is a $R \otimes S$-module of the form $V \otimes W$ with $V$ simple $R$-module and $W$ simple $S$-module a simple module?

A semisimple ring has only finitely many isomorphism classes of simple modules

Why does the set of submodules of a module that are direct sums of irreducible submodules have a maximal element?

If A is semisimple algebra then every A-module is completely reducible

A simple module isomorphism in Wedderburn theory

R is not Artinian but R/J is semisimple

Jacobson Radical of integer matrices

Let V be an infinite dimensional vector space over a division ring D. The Set F={θ:V→V: Im(θ) is a finite dimensional subspace of V} is a simple ring.

A simple ring which is not semisimple

Semi-simple rings and fields.

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