Hurwitz's theorem on composition algebra was developed by mathematician Adolf Hurwitz but was later published officially after his death. The theorem has been used to solve numerous mathematical problems and has been established as one of the most important theorems. To learn more about this theorem, practice the quiz highlighted below.
1922
1923
1924
1925
Quadratic form
Algebraic form
Exponential form
Geometric form
Positive real number
Negative real number
Integer
Complex number
Zero part
Irrational numbers
Non-zero part
Rational numbers
Real numbers
Complex numbers
Integers
Octonions
Composition algebras
Non-composition algebras
Real algebras
Irrational algebras
Q ( a b) = q ( a) q ( b)
Q ( a b) = q ( a) / q ( b)
Q ( a b) = q ( a) ( b)
Q ( a b) = ( a) ( b)
1
2
4
5
Classical group
Crystallized group
Algebraic topography
Homotopy group
Irrational numbers
Real positive numbers
Negative-definate
Positive-definate