- of the
sedenions.
Unlike the octonions, the
sedenions are not an
alternative algebra.
Applying the Cayley–****son
construction to the
sedenions yields...
-
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...
-
Applying the Cayley–****son
construction to the
octonions produces the
sedenions. The
octonions were
discovered in 1843 by John T. Graves,
inspired by...
-
octonions is
called the
sedenions. It
retains an
algebraic property called power ****ociativity,
meaning that if s is a
sedenion, snsm = sn + m, but loses...
-
multiplication is not ****ociative in
addition to not
being commutative, and the
sedenions, in
which multiplication is not alternative,
neither ****ociative nor commutative...
- 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...
- {\displaystyle \mathbb {C} } then
yields the quaternions, the
octonions and the
sedenions. This
construction turns out to
diminish the
structural properties of...
- 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...
- are
alternative and power-****ociative,
while the
sedenions are only power-****ociative. The
sedenions and all
further extensions of
these four
normed division...
- 11). The
extended Euclidean algorithm may be used to
compute it. The
sedenions are an
algebra in
which every nonzero element has a
multiplicative inverse...
