Question

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

score 51 · Answer 1 · 2026-04-17 12:11:15

51

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

Published on 17 Apr 2026 - 12:11

score 97 · Answer 2 · 2026-04-14 16:45:40

97

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Ring-theoretic characterization of scalar matrices over a division ring

Published on 14 Apr 2026 - 16:45

score 233 · Answer 3 · 2026-04-13 01:50:45

233

Views

A Condition for division ring being a field.

Published on 13 Apr 2026 - 1:50

score 374 · Answer 4 · 2026-05-10 19:20:47

374

Views

Hasse invariants under extension of scalars

Published on 10 May 2026 - 19:20

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 239 · Answer 6 · 2026-04-13 16:28:10

239

Views

Name of Octonions With Biquaternion Coefficients?

Published on 13 Apr 2026 - 16:28

score 59 · Answer 7 · 2026-03-25 19:03:33

59

Views

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

Published on 25 Mar 2026 - 19:03

score 120 · Answer 8 · 2026-03-25 17:39:00

120

Views

Division algebras are frobenius algebras

Published on 25 Mar 2026 - 17:39

score 63 · Answer 9 · 2026-05-01 08:11:28

63

Views

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

Published on 01 May 2026 - 8:11

score 102 · Answer 10 · 2026-05-01 10:30:33

102

Views

The multiplicative group of the real quaternion division ring

Published on 01 May 2026 - 10:30

score 25 · Answer 11 · 2026-03-25 17:42:07

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 75 · Answer 12 · 2026-05-10 15:50:28

75

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Wedderburn theorem version for superalgebras

Published on 10 May 2026 - 15:50

score 56 · Answer 13 · 2026-03-25 19:10:30

56

Views

Sub algebras of dimension $2$ of division algebras

Published on 25 Mar 2026 - 19:10

score 89 · Answer 14 · 2026-03-25 17:43:47

89

Views

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

Published on 25 Mar 2026 - 17:43

score 107 · Answer 15 · 2026-03-25 17:45:03

107

Views

Isomorphisms between sub division rings of degree $2$

Published on 25 Mar 2026 - 17:45

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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