gptkbp:instanceOf
|
hypercomplex number system
|
gptkbp:builtBy
|
gptkb:Cayley–Dickson_construction
|
gptkbp:containsNonAlternativeElements
|
true
|
gptkbp:containsNonAssociativeElements
|
true
|
gptkbp:containsNonDivisionAlgebra
|
true
|
gptkbp:containsZeroDivisors
|
true
|
gptkbp:dimensions
|
16
|
gptkbp:discoveredBy
|
gptkb:John_H._Conway
gptkb:John_W._Milnor
|
gptkbp:discoveredIn
|
20th century
|
gptkbp:flexibility
|
false
|
gptkbp:generalizes
|
gptkb:octonions
quaternions
complex numbers
real numbers
|
gptkbp:hasBasisElements
|
16
|
gptkbp:hasIdempotentElements
|
true
|
gptkbp:hasMultiplicationTable
|
yes
|
gptkbp:hasNilpotentElements
|
true
|
gptkbp:hasZeroDivisors
|
true
|
https://www.w3.org/2000/01/rdf-schema#label
|
sedenions
|
gptkbp:isAlternative
|
false
|
gptkbp:isAssociative
|
false
|
gptkbp:isCommutative
|
false
|
gptkbp:isCompositionAlgebra
|
false
|
gptkbp:isNonalternativeAlgebra
|
true
|
gptkbp:isNonassociativeAlgebra
|
true
|
gptkbp:isNoncommutativeAlgebra
|
true
|
gptkbp:isNormedDivisionAlgebra
|
false
|
gptkbp:isNotAlternativeAlgebra
|
true
|
gptkbp:isNotAssociativeAlgebra
|
true
|
gptkbp:isNotCommutativeAlgebra
|
true
|
gptkbp:isNotCompositionAlgebra
|
true
|
gptkbp:isNotDivisionAlgebra
|
true
|
gptkbp:isNotFlexibleAlgebra
|
true
|
gptkbp:isNotNormedAlgebra
|
true
|
gptkbp:isNotPowerAssociativeAlgebra
|
true
|
gptkbp:isNotSimpleAlgebra
|
true
|
gptkbp:isPowerAssociative
|
false
|
gptkbp:isPowerOfTwoAlgebra
|
true
|
gptkbp:isUnital
|
true
|
gptkbp:usedIn
|
abstract algebra
|
gptkbp:bfsParent
|
gptkb:Cayley–Dickson_construction
gptkb:Conway–Smith_doubling
gptkb:octonions
|
gptkbp:bfsLayer
|
6
|