KnowraAlgebraic integerLinked fromLinked fromThe 8 pages that link to Algebraic integer, each with the reason it gives.All 8Broader topic 3Related 3Narrower topic 2IntegerRelated: This broader algebraic concept includes ordinary integers but also non-integer roots.Algebraic number theoryBroader topic: These are the number-field analogues of ordinary integers.Algebraic numberBroader topic: This important subclass has the extra requirement that the defining polynomial be monic.Gaussian integerNarrower topic: Every Gaussian integer is an algebraic integer, but most algebraic integers are not in ℤ[i].Ring of integersBroader topic: The ring consists exactly of the algebraic integers lying in the chosen field.Dedekind zeta functionRelated: The algebraic integers of the field form the ring whose ideals are counted.Dirichlet's unit theoremRelated: The ring of integers consists precisely of the algebraic integers in the field.Niven's theoremNarrower topic: The proof exploits an algebraic integer built from the angle, then uses its rationality to restrict its value.