Gauss Z

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs Gaussian integers
gptkbp:contains all imaginary integers
all integers
gptkbp:definedIn set of complex numbers of the form a+bi where a and b are integers
gptkbp:hasNorm a^2 + b^2 for a+bi
gptkbp:hasSubgroup complex numbers
https://www.w3.org/2000/01/rdf-schema#label Gauss Z
gptkbp:isLatticeIn gptkb:complex_plane
gptkbp:isSubringOf complex numbers
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:notation Z[i]
gptkbp:ringName Euclidean domain
integral domain
unique factorization domain
gptkbp:unitElements 1
i
-1
-i
gptkbp:usedIn algebraic number theory
number theory
gptkbp:bfsParent gptkb:Gauss_crater_on_the_Moon
gptkbp:bfsLayer 6