About: Algebraic integer

Property	Value
dbo:description	комплексное число, являющееся корнем приведённого многочлена с целыми коэффициентами (ru) número complexo que resolve un polinomio mónico con coeficientes enteiros (gl) número complexo que é um zero de um polinómio mônico com coeficientes inteiros (pt) 정수 계수 일계수 다항식의 근이 되는 복소수 (ko) număr complex, soluție a unui polinom monic cu coeficienți întregi (ro) nombre qui est racine d'un polynôme unitaire à coefficients dans l'anneau des entiers relatifs (fr) complex number that solves a monic polynomial with integer coefficients (en)
dbo:wikiPageExternalLink	http://wstein.org/books/ant/ant.pdf
dbo:wikiPageWikiLink	dbr:Finite_extension dbr:Submodule dbr:Algebraic_number_theory dbr:Eisenstein_integer dbr:If_and_only_if dbr:Minimal_polynomial_(field_theory) dbr:Integrally_closed_domain dbr:Primitive_polynomial_(ring_theory) dbr:Root_of_a_polynomial dbr:Integral_element dbr:Abelian_group dbr:Abel–Ruffini_theorem dbr:Square_root dbr:Order_(ring_theory) dbr:Complex_number dbr:Integer dbr:Divisor dbr:Square-free_integer dbr:Square_number dbr:Finitely_generated_abelian_group dbr:Algebraic_number dbr:Degree_of_a_polynomial dbr:Irreducible_polynomial dbr:Gaussian_integer dbr:Quadratic_integer dbr:Polynomial dbr:Intersection_(set_theory) dbr:Multiplicative_inverse dbr:Constant_term dbr:Ring_of_integers dbr:Unit_(ring_theory) dbr:Rational_number dbr:Module_(mathematics) dbr:Root_of_unity dbr:Cyclotomic_field dbr:Primitive_element_theorem dbr:Principal_ideal_theorem dbr:Irrational_number dbr:Ideal_(ring_theory) dbr:Field_(mathematics) dbc:Algebraic_numbers dbr:Bézout_domain dbr:Field_extension dbr:Subring dbr:Modular_arithmetic dbr:Commutative_ring dbr:Resultant dbr:Dirichlet's_unit_theorem dbr:Monic_polynomial dbr:Fundamental_unit_(number_theory) dbc:Integers dbr:Leading_coefficient dbr:Number_field dbr:Group_of_units dbr:Highest_common_factor dbr:Quadratic_field_extension dbr:Quintic dbr:Coprime dbr:Integral_basis dbr:Primitive_root_of_unity
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Mathcal dbt:Algebraic_numbers dbt:Hairsp dbt:= dbt:About dbt:Abs dbt:Distinguish dbt:Math dbt:Mvar dbt:Radic dbt:Refbegin dbt:Refend dbt:Sfrac dbt:Short_description dbt:Su dbt:Use_American_English dbt:Use_mdy_dates
dct:subject	dbc:Algebraic_numbers dbc:Integers
gold:hypernym	dbr:Number
rdf:type	owl:Thing owl:Thing
rdfs:label	Algebraic integer (en) Enter algebraic (ca) عدد صحيح جبري (ar) Αλγεβρικός ακέραιος (el) Número entero algebraico (es) Entier algébrique (fr) Intero algebrico (it) 代数的整数 (ja) 대수적 정수 (ko) Algebraïsch geheel getal (nl) Целое алгебраическое число (ru) Ціле алгебраїчне число (uk) 代數整數 (zh)
owl:differentFrom	dbr:Algebraic_number dbr:Algebraic_element
owl:sameAs	freebase:Algebraic integer yago-res:Algebraic integer wikidata:Algebraic integer dbpedia-es:Algebraic integer dbpedia-it:Algebraic integer dbpedia-nl:Algebraic integer dbpedia-fr:Algebraic integer dbpedia-he:Algebraic integer dbpedia-hu:Algebraic integer dbpedia-ja:Algebraic integer dbpedia-ru:Algebraic integer dbpedia-zh:Algebraic integer dbpedia-vi:Algebraic integer dbpedia-be:Algebraic integer dbpedia-el:Algebraic integer dbpedia-ko:Algebraic integer dbpedia-ca:Algebraic integer dbpedia-ar:Algebraic integer dbpedia-fi:Algebraic integer dbpedia-kk:Algebraic integer dbpedia-ky:Algebraic integer dbpedia-uk:Algebraic integer dbpedia-global:Algebraic integer
prov:wasDerivedFrom	wikipedia-en:Algebraic_integer?oldid=1294126547&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Algebraic_integer
is dbo:wikiPageRedirects of	dbr:Algebraic_integers dbr:Ring_of_algebraic_integers dbr:Ring_of_all_algebraic_integers
is dbo:wikiPageWikiLink of	dbr:Arithmetic_hyperbolic_3-manifold dbr:List_of_commutative_algebra_topics dbr:Algebraic_number_theory dbr:Kronecker–Weber_theorem dbr:Lindemann–Weierstrass_theorem dbr:Chevalley–Warning_theorem dbr:Eisenstein_integer dbr:Integral_element dbr:Abstract_algebra dbr:Euclidean_algorithm dbr:Number_theory dbr:Richard_Dedekind dbr:Commutative_algebra dbr:Square_root dbr:Integer dbr:Number dbr:Cayley–Hamilton_theorem dbr:Hurwitz_quaternion dbr:Algebraic_number dbr:Ring_(mathematics) dbr:Prime_ideal dbr:Burnside's_theorem dbr:Martin_J._Taylor dbr:Pisot–Vijayaraghavan_number dbr:Equidissection dbr:Integer_matrix dbr:Gaussian_integer dbr:Quadratic_integer dbr:Fermat's_theorem_on_sums_of_two_squares dbr:Ideal_class_group dbr:Golden_ratio dbr:Chebotarev's_density_theorem dbr:Conjugate_element_(field_theory) dbr:Unique_factorization_domain dbr:Ring_of_integers dbr:Blackboard_bold dbr:Gauss's_lemma_(polynomials) dbr:Noetherian_ring dbr:Root_of_unity dbr:Character_theory dbr:Cyclotomic_field dbr:Regular_representation dbr:Brauer's_theorem_on_induced_characters dbr:E-function dbr:Perron_number dbr:Spectral_graph_theory dbr:Nth_root dbr:Principal_ideal dbr:Factorization dbr:Bézout_domain dbr:J-invariant dbr:Honda–Tate_theorem dbr:Algebraic_number_field dbr:Heegner_number dbr:Dirichlet's_unit_theorem dbr:Salem_number dbr:William_Edward_Hodgson_Berwick dbr:Field_norm dbr:Monic_polynomial dbr:List_of_types_of_numbers dbr:Ideal_number dbr:Fundamental_unit_(number_theory) dbr:Polynomial_transformation dbr:Jaffard_ring dbr:Minimal_polynomial_of_2cos(2pi/n) dbr:Set_of_uniqueness dbr:Ring_class_field dbr:Potential_good_reduction dbr:Quadratic_Gauss_sum dbr:Galois_module dbr:Arithmetic_Fuchsian_group dbr:Algebraic_integers dbr:Ring_of_algebraic_integers dbr:Ring_of_all_algebraic_integers
is foaf:primaryTopic of	wikipedia-en:Algebraic_integer