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by Ciro Santilli (@cirosantilli, 37)

Division algebra

 ... Algebra Group Ring (mathematics) Field (mathematics) Vector field Algebra over a field
 1 By others on same topic  0 Discussions  Updated 2025-05-26  +Created 1970-01-01  See my version
An algebra over a field where division exists.
  • Table of contents
    • Frobenius theorem (real division algebras) Division algebra

Frobenius theorem (real division algebras, Classification of associative real division algebras)

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Division algebra Tags: Classification
There are 3: real numbers, complex numbers and quaternions.
Notably, the octonions are not associative.

 Ancestors (9)

  1. Algebra over a field
  2. Vector field
  3. Field (mathematics)
  4. Ring (mathematics)
  5. Group
  6. Algebra
  7. Area of mathematics
  8. Mathematics
  9.  Home

 Incoming links (2)

  • Complex number
  • Quaternion

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 Articles by others on the same topic (1)

Division algebra by Wikipedia Bot 0  1970-01-01
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