Question

Is it true that a division algebra as a module over itself is a simple module?

score 135 · Answer 1 · 2018-04-30 12:57:23

135

Views

Is it true that a division algebra as a module over itself is a simple module?

Published on 30 Apr 2018 - 12:57

score 98 · Answer 2 · 2026-03-22 20:59:51

98

Views

Computing the inverse of a full lattice in a quaternion algebra

Published on 22 Mar 2026 - 20:59

score 283 · Answer 3 · 2026-03-23 22:29:46

283

Views

Solving linear systems for integer values in MAGMA

Published on 23 Mar 2026 - 22:29

score 426 · Answer 4 · 2018-05-31 15:03:05

Why division ring has a center of a ring (=subring) is commutative and therefore division ring reflect itself a field?

score 172 · Answer 5 · 2026-03-22 10:39:17

172

Views

Are all quaternion algebras over the rationals skew fields?

Published on 22 Mar 2026 - 10:39

score 132 · Answer 6 · 2026-03-25 01:18:42

132

Views

How do I prove that every fractional ideal of an order in a division algebra is a full lattice?

Published on 25 Mar 2026 - 1:18

score 631 · Answer 7 · 2026-03-23 07:59:08

631

Views

Splitting fields of a divison algebra

Published on 23 Mar 2026 - 7:59

score 84 · Answer 8 · 2018-07-21 16:33:25

84

Views

Central simple algebra of dimension 4

Published on 21 Jul 2018 - 16:33

score 110 · Answer 9 · 2018-07-25 18:14:20

110

Views

Algebraic division algebra over Euclidean field

Published on 25 Jul 2018 - 18:14

score 623 · Answer 10 · 2026-03-24 19:45:36

623

Views

How does linear algebra over the octonions and other division algebras work?

Published on 24 Mar 2026 - 19:45

score 1.8k · Answer 11 · 2018-08-24 05:36:45

1.8k

Views

Finite dimensional division algebras over the reals other than $\mathbb{R},\mathbb{C},\mathbb{H},$ or $\mathbb{O}$

Published on 24 Aug 2018 - 5:36

score 893 · Answer 12 · 2018-08-25 18:47:35

893

Views

What is this 2D division algebra?

Published on 25 Aug 2018 - 18:47

score 116 · Answer 13 · 2018-08-29 01:08:48

116

Views

algebraically closed for more than simple polynomials

Published on 29 Aug 2018 - 1:08

score 239 · Answer 14 · 2026-03-16 22:55:05

239

Views

Unital nonalternative real division algebras of dimension 8

Published on 16 Mar 2026 - 22:55

score 35 · Answer 15 · 2018-09-14 15:25:53

35

Views

Dimension of $\operatorname{End}_{\mathbb C} \mathbb H$ as $\mathbb {R}$ vector space.

Published on 14 Sep 2018 - 15:25

List Question

Is it true that a division algebra as a module over itself is a simple module?

Computing the inverse of a full lattice in a quaternion algebra

Solving linear systems for integer values in MAGMA

Why division ring has a center of a ring (=subring) is commutative and therefore division ring reflect itself a field?

Are all quaternion algebras over the rationals skew fields?

How do I prove that every fractional ideal of an order in a division algebra is a full lattice?

Splitting fields of a divison algebra

Central simple algebra of dimension 4

Algebraic division algebra over Euclidean field

How does linear algebra over the octonions and other division algebras work?

Finite dimensional division algebras over the reals other than $\mathbb{R},\mathbb{C},\mathbb{H},$ or $\mathbb{O}$

What is this 2D division algebra?

algebraically closed for more than simple polynomials

Unital nonalternative real division algebras of dimension 8

Dimension of $\operatorname{End}_{\mathbb C} \mathbb H$ as $\mathbb {R}$ vector space.

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