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15
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Fields with Finitely Many Division Rings

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#field-theory #division-algebras
149
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Maximal subfield of the division algebra is splitting field

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#abstract-algebra #ring-theory #splitting-field #division-algebras
116
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Relationship between trivial Brauer group and commutative division algebras

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#abstract-algebra #ring-theory #division-algebras #brauer-group
119
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Skew fields with nonzero characteristic

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#finite-fields #galois-extensions #division-algebras #division-ring
65
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Commutative subalgebras of a matrix algebra over a division algebra

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#matrices #algebraic-geometry #noncommutative-algebra #abelian-varieties #division-algebras
45
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Invertibility conditions on multivectors

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#divisibility #inverse #clifford-algebras #geometric-algebras #division-algebras
155
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Is there a division algebra of characteristic 2?

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#abstract-algebra #division-algebras
21
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Is there any kind of algebraic structure on a line in the hyperbolic plane?

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#plane-geometry #division-algebras
32
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Does every division algebra appear as the endomorphism ring of some group representation?

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#abstract-algebra #finite-groups #representation-theory #division-algebras
323
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Absolutely irreducible/simple $A$-module iff Endomorphism ring consists of scalar matrices

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#abstract-algebra #modules #noncommutative-algebra #division-algebras
126
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Tensor product of division algebra with $\mathbb R[x]$ or $\mathbb R(x)$

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#abstract-algebra #tensor-products #division-algebras
91
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Is finite dimensional central division algebra = $\otimes$(proper central division subalgebra)?

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#abstract-algebra #division-algebras
195
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Norm of the Sedenions

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#abstract-algebra #algebras #division-algebras #octonions #sedenions
100
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How to proof there is no idempotent element other than 0 and 1 in a Division Algebra?

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#abstract-algebra #representation-theory #idempotents #division-algebras
46
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Brauer group of a subfield

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#tensor-products #noncommutative-algebra #division-algebras #brauer-group

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