List questions from noncommutative-algebra

Published on 28 Jun 2022 - 19:44

91

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Is it true that $\textrm{Rad}(R)=\bigcap I$ where $I$'s are both two-sided ideals in $R$ and maximal left ideals in $R$?

Published on 08 Jul 2022 - 11:36

93

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Why is this subset finite?

Published on 29 Mar 2026 - 16:01

86

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A semisimple ring with a finite number of left maximal ideals

Published on 23 Feb 2026 - 10:04

46

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For distinct primes p and q that are $3$ mod $4$, $(−1, p)_\mathbb{Q}$ is not isomorphic to $(−1, q)_\mathbb{Q}$.

Published on 23 Feb 2026 - 12:06

92

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Basis of $sl(2,\mathbb{Z})$

Published on 21 Jul 2022 - 4:04

126

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Relative injective modules

Published on 28 Mar 2026 - 0:46

46

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Brauer group of a subfield

Published on 25 Mar 2026 - 6:03

50

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Tensoring a skew field does not introduce zero divisors

Published on 26 Mar 2026 - 16:26

273

Views

Reference for invariant basis number (IBN) rings

Published on 28 Jul 2022 - 1:12

146

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Let $R$ be a prime ring. Then $ab,a\in Z(R) \implies b\in Z(R)$?

Published on 01 Aug 2022 - 11:39

125

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Simple modules of quantum planes

Published on 26 Mar 2026 - 12:42

230

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Why should I expect the generators of Lie Groups to be closed under the commutator?

Published on 11 Aug 2022 - 1:29

78

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I've proven Krull-Schmidt for arbitrary decomposition into indecomposables. What's wrong in my proof?

Published on 29 Mar 2026 - 16:34

154

Views

Jacobson density theorem, and its relations to Artin-Wedderburn, and double centralizer theorems

Published on 24 Aug 2022 - 17:53

List Question

Computing local cohomology over a noncommutative ring

Is it true that $\textrm{Rad}(R)=\bigcap I$ where $I$'s are both two-sided ideals in $R$ and maximal left ideals in $R$?

Why is this subset finite?

A semisimple ring with a finite number of left maximal ideals

For distinct primes p and q that are $3$ mod $4$, $(−1, p)_\mathbb{Q}$ is not isomorphic to $(−1, q)_\mathbb{Q}$.

Basis of $sl(2,\mathbb{Z})$

Relative injective modules

Brauer group of a subfield

Tensoring a skew field does not introduce zero divisors

Reference for invariant basis number (IBN) rings

Let $R$ be a prime ring. Then $ab,a\in Z(R) \implies b\in Z(R)$?

Simple modules of quantum planes

Why should I expect the generators of Lie Groups to be closed under the commutator?

I've proven Krull-Schmidt for arbitrary decomposition into indecomposables. What's wrong in my proof?

Jacobson density theorem, and its relations to Artin-Wedderburn, and double centralizer theorems

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