Question

The dimension of a division ring over its center is square.

score 512 · Answer 1 · 2026-05-05 04:06:47

512

Views

The dimension of a division ring over its center is square.

Published on 05 May 2026 - 4:06

score 419 · Answer 2 · 2026-05-03 14:36:09

419

Views

Prove that the homomorphism $\phi:R\to S^{-1}R$ is injective if and only if $S$ contains no zero-divisors.

Published on 03 May 2026 - 14:36

score 60 · Answer 3 · 2026-05-04 21:38:48

60

Views

Why does the multiplication in a division algebra depends on every component?

Published on 04 May 2026 - 21:38

score 126 · Answer 4 · 2026-04-29 12:53:14

126

Views

Degree $n$ extension of local field splits degree $n$ division algebra

Published on 29 Apr 2026 - 12:53

score 380 · Answer 5 · 2026-05-01 10:07:06

380

Views

Galois theory for (non-commutative) division rings

Published on 01 May 2026 - 10:07

score 140 · Answer 6 · 2026-05-04 08:41:46

140

Views

Conditions for equivalent definitions of division algebra

Published on 04 May 2026 - 8:41

score 118 · Answer 7 · 2026-05-07 17:09:27

118

Views

Existence of division algebras with center $\mathbb{Q}$ of prime degree

Published on 07 May 2026 - 17:09

score 395 · Answer 8 · 2026-05-01 08:37:37

395

Views

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

Published on 01 May 2026 - 8:37

score 70 · Answer 9 · 2026-05-07 16:15:28

70

Views

How to construction a division ring from the given field?

Published on 07 May 2026 - 16:15

score 166 · Answer 10 · 2026-04-29 12:53:18

166

Views

The ring generated over the center of a division ring by a group.

Published on 29 Apr 2026 - 12:53

score 93 · Answer 11 · 2026-04-30 11:40:25

93

Views

Central simple quaternion algebra: why is the matrix for $\rho(v)$ antidiagonal?

Published on 30 Apr 2026 - 11:40

score 236 · Answer 12 · 2026-04-29 12:53:16

236

Views

Central simple algebras give rise to algebraic groups

Published on 29 Apr 2026 - 12:53

score 228 · Answer 13 · 2026-05-01 14:04:42

228

Views

Brauer group of the field of Laurent series with coefficients in a finite field

Published on 01 May 2026 - 14:04

score 92 · Answer 14 · 2026-04-18 16:34:43

92

Views

Classification of a certain family of real division algebras

Published on 18 Apr 2026 - 16:34

score 101 · Answer 15 · 2026-04-23 10:30:03

101

Views

Subfields of central division algebras over fixed global field

Published on 23 Apr 2026 - 10:30

List Question

The dimension of a division ring over its center is square.

Prove that the homomorphism $\phi:R\to S^{-1}R$ is injective if and only if $S$ contains no zero-divisors.

Why does the multiplication in a division algebra depends on every component?

Degree $n$ extension of local field splits degree $n$ division algebra

Galois theory for (non-commutative) division rings

Conditions for equivalent definitions of division algebra

Existence of division algebras with center $\mathbb{Q}$ of prime degree

Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra

How to construction a division ring from the given field?

The ring generated over the center of a division ring by a group.

Central simple quaternion algebra: why is the matrix for $\rho(v)$ antidiagonal?

Central simple algebras give rise to algebraic groups

Brauer group of the field of Laurent series with coefficients in a finite field

Classification of a certain family of real division algebras

Subfields of central division algebras over fixed global field

Trending Questions

Popular # Hahtags

Popular Questions