nLab
sedenion
Contents
Context
Algebra
- algebra, higher algebra
- universal algebra
- monoid, semigroup, quasigroup
- nonassociative algebra
- associative unital algebra
- commutative algebra
- Lie algebra, Jordan algebra
- Leibniz algebra, pre-Lie algebra
- Poisson algebra, Frobenius algebra
- lattice, frame, quantale
- Boolean ring, Heyting algebra
- commutator, center
- monad, comonad
- distributive law
Group theory
Ring theory
Module theory
Contents
Idea
The sedenions are the non-associative algebra over the real numbers obtained by applying the Cayley–Dickson construction to the octonions.
Properties
Although every sedenion has a multiplicative inverse, is not a division algebra, since it has zero divisors.
References
Wikipedia, Sedenion
Last revised on August 21, 2024 at 02:05:51.
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