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

multiplication is not associative in addition to not being commutative, and the sedenions, in which multiplication is not alternative, neither associative nor commutative...

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...

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...

{\displaystyle \mathbb {C} } then yields the quaternions, the octonions and the sedenions. This construction turns out to diminish the structural properties of...

Applying the Cayley–Dickson construction to the octonions produces the sedenions. The octonions were discovered in 1843 by John T. Graves, inspired by...

297,335,631^{3}+(-80,538,738,812,075,974)^{3}=42.} The 16-dimensional sedenions have 42 "simple" zero divisors of the form e + f {\displaystyle e+f} where...

U+1D54A 𝕊 Represents a sphere, or the sphere spectrum, or occasionally the sedenions. T {\displaystyle \mathbb {T} } U+1D54B 𝕋 Represents the circle group...

saxifragous sēdecim sēdecim- sixteen sedecimal sēdēnī sēdēn- sixteen each sedenion semen semin- seed disseminate, dissemination, disseminative, disseminator...

form homeomorphic to the zero divisors with entries of unit norm in the sedenions, S {\displaystyle \mathbb {S} } . The floor of the imaginary part of the...