sedenions

GPTKB entity

Statements (46)
Predicate Object
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