List questions from division-algebras

Published on 23 Feb 2026 - 6:24

33

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A special case of Skolem-Nother 'sTheorem

Published on 23 Feb 2026 - 6:22

54

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A formula for $S$-units in quaternion algebras

Published on 04 Jan 2024 - 17:27

51

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An example of local and global containments in quaternion algebras

Published on 05 Jan 2024 - 10:14

41

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Calculating the class number of a maximal order from a Quaternion Algebra

Published on 07 Jan 2024 - 1:59

55

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Is the spectrum of an element in an algebra, $\sigma(x) = \{z \in\mathbb{C}: \vert z\vert\leq\Vert x \Vert\}$?

Published on 26 Mar 2024 - 12:16

70

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Finding basis and dimension based on definition of space

Published on 14 Jan 2015 - 17:41

763

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Has the Riemann Hypothesis been generalized to the Octonions and the Quaternions?

Published on 25 Mar 2026 - 12:44

53

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Division algebra over 2-adic fields

Published on 04 Mar 2015 - 7:13

143

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On Nilpotent Elements of $M_n (F)$

Published on 25 Mar 2015 - 9:19

314

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Finite dimensional central division algebras over a finite extension of $\mathbb{F}_q(T)$

Published on 28 Mar 2015 - 11:09

77

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Involutions on endomorphisms over division rings

Published on 30 Mar 2015 - 14:29

892

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algebraically closed field in a division ring?

Published on 13 Apr 2015 - 20:50

523

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How to understand that the left regular representation of a division algebra is irreducible?

Published on 12 Jun 2015 - 19:27

135

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Show that a finite dimensional algebra D with identity over a skewfield F is a semifield if and only if it has no zero divisors.

Published on 16 Sep 2015 - 12:07

List Question

Centre of fixed skew field is the fixed field of centre?

A special case of Skolem-Nother 'sTheorem

A formula for $S$-units in quaternion algebras

An example of local and global containments in quaternion algebras

Calculating the class number of a maximal order from a Quaternion Algebra

Is the spectrum of an element in an algebra, $\sigma(x) = \{z \in\mathbb{C}: \vert z\vert\leq\Vert x \Vert\}$?

Finding basis and dimension based on definition of space

Has the Riemann Hypothesis been generalized to the Octonions and the Quaternions?

Division algebra over 2-adic fields

On Nilpotent Elements of $M_n (F)$

Finite dimensional central division algebras over a finite extension of $\mathbb{F}_q(T)$

Involutions on endomorphisms over division rings

algebraically closed field in a division ring?

How to understand that the left regular representation of a division algebra is irreducible?

Show that a finite dimensional algebra D with identity over a skewfield F is a semifield if and only if it has no zero divisors.

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