List questions from division-ring

Published on 05 Sep 2023 - 17:31

275

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Show that a division ring contains exactly two idempotent elements.

Published on 10 Sep 2023 - 0:54

51

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

Published on 10 Nov 2023 - 17:25

32

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A special case of Skolem-Nother 'sTheorem

Published on 20 Nov 2023 - 7:55

243

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A finite division ring $D$ is a field

Published on 28 Dec 2023 - 20:16

58

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Triple Cross Product Identity for imaginary quaternions $\mathbb{H}_0$

Published on 27 Feb 2024 - 13:46

2.2k

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Is every simple ring a division ring?

Published on 14 Dec 2013 - 5:43

190

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Homomorphic images of nth power of a division ring

Published on 01 May 2017 - 12:45

51

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A proper subring of an 4-dimensional division F-algebra is a field.

Published on 07 Jun 2017 - 15:13

82

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Let $R = \mathbb{Q}[x]$ and let $I = (x^2 + 2x + 2)R$ be the principal ideal generated by $x^2 + 2x +2$. Two questions are below.

Published on 19 Aug 2017 - 12:37

69

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Multiplicativity formula for a tower of division algebras

Published on 13 Sep 2017 - 15:22

272

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The division ring of fractions of the first Weyl algebra and its subrings

Published on 14 Sep 2017 - 15:27

154

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Can one embed two division rings in a common one?

Published on 17 Sep 2017 - 6:15

608

Views

Proof of brauer's lemma, $eRe$ being a division ring.

Published on 27 Sep 2017 - 3:09

187

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Abelianisation of a division ring

Published on 20 Oct 2017 - 11:09

List Question

Let $D$ a division ring. Why $D^n$ needs to be a right $D$-vector space?

Show that a division ring contains exactly two idempotent elements.

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

A special case of Skolem-Nother 'sTheorem

A finite division ring $D$ is a field

Triple Cross Product Identity for imaginary quaternions $\mathbb{H}_0$

Is every simple ring a division ring?

Homomorphic images of nth power of a division ring

A proper subring of an 4-dimensional division F-algebra is a field.

Let $R = \mathbb{Q}[x]$ and let $I = (x^2 + 2x + 2)R$ be the principal ideal generated by $x^2 + 2x +2$. Two questions are below.

Multiplicativity formula for a tower of division algebras

The division ring of fractions of the first Weyl algebra and its subrings

Can one embed two division rings in a common one?

Proof of brauer's lemma, $eRe$ being a division ring.

Abelianisation of a division ring

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