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11R04 - Number theory :: Algebraic number theory: global fields :: Algebraic numbers; rings of algebraic integers

-adic cyclotomic character owned by alozano owned by CWoo algebraic owned by drini algebraic conjugates owned by mathcam algebraic integer owned by KimJ algebraic number owned by KimJ algebraic numbers are countable owned by pahio algebraic sines and cosines owned by pahio algebraic sum and product owned by pahio all algebraic numbers in a sequence owned by pahio basis of ideal in algebraic number field owned by pahio calculating the splitting of primes owned by mathcam canonical basis owned by pahio characterizing CM-fields using Dirichlet's unit theorem owned by rm50 class numbers of imaginary quadratic fields owned by pahio classification of complex numbers owned by pahio condition for power basis owned by pahio conjugate fields owned by pahio conjugation (mnemonic) owned by Wkbj79 Dedekind domain owned by mathcam Dedekind domains with finitely many primes are PIDs owned by gel degree of an algebraic number owned by Wkbj79 Dirichlet's unit theorem owned by yark Eisenstein integers owned by KimJ Eisenstein prime owned by PrimeFan example of a Bezout domain that is not a PID owned by Wkbj79 examples of characteristic functions owned by Wkbj79 examples of Gaussian primes owned by PrimeFan examples of integrally closed extensions owned by rm50 fundamental character of level for the inertia group at owned by alozano fundamental units owned by pahio Galois representation owned by alozano Gaussian integer owned by Daume Gaussian prime owned by PrimeFan ideal classes form an abelian group owned by mathcam ideal decomposition in Dedekind domain owned by pahio ideal norm owned by pahio ideals in a Dedekind domain owned by yark imaginary quadratic field owned by pahio integral basis owned by rspuzio integral basis of quadratic field owned by pahio integrally closed owned by rmilson invertibility of regularly generated ideal owned by pahio invertible ideals in semi-local rings owned by gel lemma for imaginary quadratic fields owned by pahio localizations of Dedekind domains are Dedekind owned by gel minimal polynomial owned by Wkbj79 minimality of integral basis owned by Mathprof multiples of an algebraic number owned by pahio norm and trace of algebraic number owned by pahio norm-Euclidean number field owned by pahio number field that is not norm-Euclidean owned by pahio orders in a number field owned by pahio power basis over $\mathbb{Z}$ owned by Wkbj79 proof of basis of ideal in algebraic number field owned by lalberti proof of Dedekind domains with finitely many primes are PIDs owned by rm50 proof of localizations of Dedekind domains are Dedekind owned by gel proof of norm and trace of algebraic number owned by Wkbj79 proof of transcendental root theorem owned by alozano quadratic imaginary norm-Euclidean number fields owned by pahio table of some fundamental units owned by pahio theory of algebraic and transcendental numbers owned by alozano theory of rational and irrational numbers owned by alozano transcendental root theorem owned by mathcam two-generator property owned by pahio units of quadratic fields owned by pahio units of real cubic fields with exactly one real embedding owned by Wkbj79 weak approximation theorem owned by rm50
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