List questions from noncommutative-algebra

Published on 18 Aug 2020 - 13:41

62

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$\mathbb{Q}$-representation and Galois theory

Published on 23 Aug 2020 - 1:56

105

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Proving that central simple algebra $B$ over a field $k$ splits in Brauer group by a field $L$ contained in $B$, then $[B:k]=[L:k]^2$

Published on 25 Mar 2026 - 1:18

268

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Algebra of upper triangular matrices

Published on 30 Aug 2020 - 14:46

91

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$R/I\cong R/\text{Ann}_R(R/I)$ but $I\neq\text{Ann}_R(R/I)$

Published on 11 Sep 2020 - 1:00

528

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Are scalars on the left for a reason?

Published on 15 Sep 2020 - 12:21

177

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Show $I$ prime implies that for left ideals $J,K$ $JK \subset I$ then $J \subset I$ or $K \subset I$

Published on 16 Sep 2020 - 9:51

52

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Inverse of right engel element is a left engel element.

Published on 25 Sep 2020 - 4:40

329

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Grassman variable and Grassmannian?

Published on 27 Mar 2026 - 3:10

765

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Primitive Central Idempotent

Published on 29 Sep 2020 - 6:08

76

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Example of a commutative ring where commutativity is not trivial

Published on 01 Oct 2020 - 19:46

1k

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Center of a group ring?

Published on 26 Mar 2026 - 16:04

358

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Two-sided ideals of $M_n(k)$

Published on 03 Oct 2020 - 18:02

138

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Invertible lattices in are well behaved: IJ is invertible iff I, J are

Published on 05 Oct 2020 - 19:20

53

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Can anybody shed some light on the importance of the notion of compatibility of products of lattices in quaternion algebras?

Published on 25 Mar 2026 - 9:29

List Question

Semiprimary rings: Sharpest bound for chain lengths of principal ideals

$\mathbb{Q}$-representation and Galois theory

Proving that central simple algebra $B$ over a field $k$ splits in Brauer group by a field $L$ contained in $B$, then $[B:k]=[L:k]^2$

Algebra of upper triangular matrices

$R/I\cong R/\text{Ann}_R(R/I)$ but $I\neq\text{Ann}_R(R/I)$

Are scalars on the left for a reason?

Show $I$ prime implies that for left ideals $J,K$ $JK \subset I$ then $J \subset I$ or $K \subset I$

Inverse of right engel element is a left engel element.

Grassman variable and Grassmannian?

Primitive Central Idempotent

Example of a commutative ring where commutativity is not trivial

Center of a group ring?

Two-sided ideals of $M_n(k)$

Invertible lattices in are well behaved: IJ is invertible iff I, J are

Can anybody shed some light on the importance of the notion of compatibility of products of lattices in quaternion algebras?

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