Gaussian integer

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
complex number
gptkbp:application gptkb:algebra
cryptography
number theory
gptkbp:closed addition
multiplication
subtraction
gptkbp:definedIn complex number of the form a+bi where a and b are integers
gptkbp:dividedInto another Gaussian integer if remainder is zero
gptkbp:hasNorm a^2 + b^2
gptkbp:hasSubgroup complex numbers
algebraic integers
gptkbp:hasUnit 1
i
-1
-i
https://www.w3.org/2000/01/rdf-schema#label Gaussian integer
gptkbp:imaginaryPart gptkb:integral
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:notation Z[i]
gptkbp:primeElement Gaussian prime
gptkbp:realPart gptkb:integral
gptkbp:ringName Euclidean domain
commutative ring
integral domain
gptkbp:bfsParent gptkb:Eisenstein_integer
gptkb:Gaussian
gptkbp:bfsLayer 6