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Is there any construction of infinite dimensional algebraic division ring?

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#abstract-algebra #division-algebras
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Show 3D-division algebra over the reals cannot exist using linear algebra

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#linear-algebra #quaternions #division-algebras
946
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$\Bbb{H}_{\Bbb{Q}}$ is only four dimensional division algebra over rationals.

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#algebras #division-algebras
162
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Unwind quaternion multiplication

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#divisibility #quaternions #division-algebras
279
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Version of Wedderburn's theorem on central simple algebras

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#matrices #noncommutative-algebra #division-algebras #brauer-group
164
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Polarization identity $2(a,b)(c,d)=(ac,bd)+(ad,bc)$

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#abstract-algebra #ring-theory #inner-products #division-algebras #octonions
227
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Motivating the Cayley-Dickson construction by proving Hurwitz's theorem

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#abstract-algebra #ring-theory #division-algebras #octonions
551
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Field extension whose tensor product with itself over $\mathbb{Q}$ is not a field

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#abstract-algebra #field-theory #division-algebras
983
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Minimal projections on von Neumann Algebras

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#von-neumann-algebras #division-algebras
451
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Central division algebras and splitting fields

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#abstract-algebra #division-algebras
121
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Cyclic division ring

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#division-algebras
194
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Crossed products and division algebras

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#noncommutative-algebra #division-algebras #brauer-group
1.7k
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Finite dimensional division algebra over $\Bbb{C}$

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#abstract-algebra #ring-theory #division-algebras
71
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Is the generalized hopf map of an alternative finite-dimensional real division algebra continuous?

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#general-topology #division-algebras #hopf-fibration
1k
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Confusion about division in Clifford Algebra

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#clifford-algebras #division-algebras

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