Question

Decomposing $\mathbb{F}_p[G]$ ($G$ finite) into products of matrix rings over fields

score 48 · Answer 1 · 2026-02-23 04:02:32

48

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Decomposing $\mathbb{F}_p[G]$ ($G$ finite) into products of matrix rings over fields

Published on 23 Feb 2026 - 4:02

score 94 · Answer 2 · 2017-02-19 05:48:34

94

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Ring-theoretic characterization of scalar matrices over a division ring

Published on 19 Feb 2017 - 5:48

score 230 · Answer 3 · 2017-03-16 04:00:09

230

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A Condition for division ring being a field.

Published on 16 Mar 2017 - 4:00

score 370 · Answer 4 · 2026-03-24 23:44:58

370

Views

Hasse invariants under extension of scalars

Published on 24 Mar 2026 - 23:44

score 188 · Answer 5 · 2026-03-25 10:53:39

188

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Do Hopf bundles give all relations between these "composition factors"?

Published on 25 Mar 2026 - 10:53

score 236 · Answer 6 · 2017-03-26 18:41:13

236

Views

Name of Octonions With Biquaternion Coefficients?

Published on 26 Mar 2017 - 18:41

score 58 · Answer 7 · 2023-02-23 13:57:58

58

Views

Did Gelfand prove that every commutative Banach division algebra is either $\mathbb{R}$ or $\mathbb{C}$?

Published on 23 Feb 2023 - 13:57

score 119 · Answer 8 · 2023-04-11 16:09:54

119

Views

Division algebras are frobenius algebras

Published on 11 Apr 2023 - 16:09

score 62 · Answer 9 · 2026-02-23 04:40:39

62

Views

For quaternions $\alpha$ and $\beta$, find all quaternions $x$ such that $\alpha x=x\beta$.

Published on 23 Feb 2026 - 4:40

score 101 · Answer 10 · 2026-02-23 04:41:43

101

Views

The multiplicative group of the real quaternion division ring

Published on 23 Feb 2026 - 4:41

score 24 · Answer 11 · 2023-05-06 13:45:26

If $x$ in a division $\mathbb{R}$-algebra and $x(a+bi)x^{-1}=a-bi, \forall a,b \in \mathbb{R}$, show that $x^2$ commutes with all $z \in \mathbb{C}$.

score 73 · Answer 12 · 2026-03-25 02:59:21

73

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Wedderburn theorem version for superalgebras

Published on 25 Mar 2026 - 2:59

score 55 · Answer 13 · 2023-09-22 13:06:17

55

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Sub algebras of dimension $2$ of division algebras

Published on 22 Sep 2023 - 13:06

score 88 · Answer 14 · 2023-10-01 15:03:24

88

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Non-associative ring whose non-zero elements form non-commutative quasigroup (with regard to multiplication) without identity?

Published on 01 Oct 2023 - 15:03

score 106 · Answer 15 · 2023-10-23 15:52:51

106

Views

Isomorphisms between sub division rings of degree $2$

Published on 23 Oct 2023 - 15:52

List Question

Decomposing $\mathbb{F}_p[G]$ ($G$ finite) into products of matrix rings over fields

Ring-theoretic characterization of scalar matrices over a division ring

A Condition for division ring being a field.

Hasse invariants under extension of scalars

Do Hopf bundles give all relations between these "composition factors"?

Name of Octonions With Biquaternion Coefficients?

Did Gelfand prove that every commutative Banach division algebra is either $\mathbb{R}$ or $\mathbb{C}$?

Division algebras are frobenius algebras

For quaternions $\alpha$ and $\beta$, find all quaternions $x$ such that $\alpha x=x\beta$.

The multiplicative group of the real quaternion division ring

If $x$ in a division $\mathbb{R}$-algebra and $x(a+bi)x^{-1}=a-bi, \forall a,b \in \mathbb{R}$, show that $x^2$ commutes with all $z \in \mathbb{C}$.

Wedderburn theorem version for superalgebras

Sub algebras of dimension $2$ of division algebras

Non-associative ring whose non-zero elements form non-commutative quasigroup (with regard to multiplication) without identity?

Isomorphisms between sub division rings of degree $2$

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