In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the real numbers, usually represented by the capital...

Superstring theory 11 dimensions M-theory 12 dimensions F-theory 16 dimensions Sedenion 26 dimensions Bosonic string theory 32 dimensions Trigintaduonion Higher...

} Like octonions and sedenions, multiplication of trigintaduonions is neither commutative nor associative. As with the sedenions, the trigintaduonions...

index of 84), and 48. There are 84 zero divisors in the 16-dimensional sedenions S {\displaystyle \mathbb {S} } . Messier object M84, a magnitude 11.0...

multiplication is not associative in addition to not being commutative, and the sedenions S {\displaystyle \mathbb {S} } , in which multiplication is not alternative...

octonions is called the sedenions. It retains an algebraic property called power associativity, meaning that if s is a sedenion, snsm = sn + m, but loses...

by 7 matrix of only zeroes and ones is 32. In sixteen dimensions, the sedenions generate a non-commutative loop S L {\displaystyle \mathbb {S} _{L}} of...

multiplication is non-associative, and the norm of sedenions is not multiplicative. After the sedenions are the 32-dimensional trigintaduonions (or 32-nions)...

represented as a 4‑tuple, an octonion can be represented as an 8‑tuple, and a sedenion can be represented as a 16‑tuple. Although these uses treat ‑uple as the...

multiplication table. For further examples, see Octonion § Multiplication, Sedenion § Multiplication, and Trigintaduonion § Multiplication. Mokkan discovered...