Sedenions are the 16-dimensional algebra obtained by applying the [Cayley-Dickson construction]? to the octonions. |
The Sedenions form a 16-dimensional algebra over the reals obtained by applying the [Cayley-Dickson construction]? to the octonions. |
Like octonions, multiplication? of sedenions is neither commutative nor associative. But unlike octonions, it does not have the property of being "alternative". Multiplication is alternative if: |
Like octonions, multiplication? of sedenions is neither commutative nor associative. Unlike octonions, it does not even have the property of being "alternative". Multiplication is alternative if: |
for natural numbers a and b. |
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