About: Quotient ring

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia-live.demo.openlinksw.com

Construction in abstract algebra

Property	Value
dbo:description	anel cuxos elementos son as coclases do ideal I no corpo R suxeito a operacións específicas + e ⋅ (gl) construction in abstract algebra (en) anneau constitué par passage au quotient d'une relation d'équivalence d'appartenance à un idéal bilatère (fr) konstruksi yang sangat mirip dengan kelompok hasil bagi dari teori grup dan ruang hasil bagi dari aljabar linear (in)
dbo:wikiPageExternalLink	http://www.math.niu.edu/~beachy/aaol/rings.html%23ideals
dbo:wikiPageWikiLink	dbr:Prime_ideal dbr:Split-complex_number dbr:Congruence_relation dbr:Associated_graded_ring dbc:Ring_theory dbr:Coefficient dbr:Algebraic_variety dbr:Commutative_algebra dbr:Quotient_module dbr:Fundamental_theorem_on_homomorphisms dbr:Standard_part_function dbr:Complex_number dbr:Complex_plane dbr:Imaginary_unit dbr:Integer dbr:Real_line dbr:Real_number dbr:Integral_domain dbr:Subalgebra dbr:Modular_arithmetic dbr:Abstract_algebra dbr:Ring_(mathematics) dbr:Unit_circle dbr:Quotient_space_(linear_algebra) dbr:Group_theory dbr:If_and_only_if dbr:Dual_number dbr:Universal_property dbr:Product_of_rings dbr:Even_number dbr:Equivalence_class dbr:Maximal_ideal dbr:Free_algebra dbc:Quotient_objects dbr:Nilpotent dbr:Ring_homomorphism dbr:Mathematical_Association_of_America dbr:Goldie's_theorem dbr:Kernel_(algebra) dbr:Quaternion dbr:Academic_Press dbr:Germ_(mathematics) dbr:Linear_algebra dbr:Field_extension dbr:Equivalence_relation dbr:Field_(mathematics) dbr:Manifold dbr:Chinese_remainder_theorem dbr:Ideal_(ring_theory) dbr:Polynomial dbr:Two-sided_ideal dbr:Associative_algebra dbr:Ring_theory dbr:Irreducible_polynomial dbr:Unit_hyperbola dbr:Finite_field dbr:Coset dbr:Universal_algebra dbr:Split-quaternion dbr:Algebraic_geometry dbr:Bijection dbr:Field_of_fractions dbr:Quotient_group dbr:Minimal_polynomial_(field_theory) dbr:Indeterminate_(variable) dbr:Commutative_ring dbr:Construction_of_the_real_numbers dbr:Zero_ring dbr:Coordinate_ring dbr:Biquaternion dbr:Quotient_(universal_algebra) dbr:Hyperinteger dbr:Hyperreal_number dbr:Residue_field dbr:Ring_isomorphism dbr:Localization_of_a_ring dbr:Fraction_bar dbr:Fraction_slash dbr:B.L._van_der_Waerden dbr:Well-defined dbr:Coprime dbr:Naturally_isomorphic dbr:Neighborhood_(mathematics) dbr:Canonical_homomorphism dbr:Direct_sum_of_algebras dbr:Anti-commutative_property dbr:Cosets dbr:Ring_of_polynomials dbr:Surjective
dbp:id	p/q076920 (en)
dbp:title	Quotient ring (en)
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Reflist dbt:Ring_theory_sidebar dbt:Springer dbt:Tmath dbt:Short_description
dct:subject	dbc:Ring_theory dbc:Quotient_objects
gold:hypernym	dbr:Construction
rdfs:label	Quotient ring (en) Anell quocient (ca) Faktorokruh (cs) Anillo cociente (es) Faktorring (de) Gelanggang hasil bagi (in) Anneau quotient (fr) 剰余環 (ja) 몫환 (ko) Anel quociente (pt) Pierścień ilorazowy (pl) Kvotring (sv) Факторкольцо (ru) Фактор-кільце (uk) 商环 (zh)
owl:sameAs	freebase:Quotient ring yago-res:Quotient ring wikidata:Quotient ring dbpedia-de:Quotient ring dbpedia-fr:Quotient ring dbpedia-zh:Quotient ring dbpedia-ja:Quotient ring dbpedia-pt:Quotient ring dbpedia-he:Quotient ring dbpedia-es:Quotient ring dbpedia-fa:Quotient ring dbpedia-ru:Quotient ring dbpedia-sv:Quotient ring dbpedia-pl:Quotient ring dbpedia-ko:Quotient ring dbpedia-id:Quotient ring dbpedia-ca:Quotient ring dbpedia-cs:Quotient ring dbpedia-fi:Quotient ring dbpedia-mn:Quotient ring dbpedia-uk:Quotient ring dbpedia-global:Quotient ring dbr:Quotient ring
prov:wasDerivedFrom	wikipedia-en:Quotient_ring?oldid=1295342790&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Quotient_ring
is dbo:wikiPageRedirects of	dbr:Factor_Ring dbr:Factor_ring dbr:Quotient_Ring dbr:Quotient_associative_algebra dbr:Residue_class_ring dbr:Residue_ring
is dbo:wikiPageWikiLink of	dbr:Prime_ideal dbr:Split-complex_number dbr:Local_ring dbr:List_of_commutative_algebra_topics dbr:Congruence_relation dbr:Ajit_Iqbal_Singh dbr:Monomial_ideal dbr:Ideal_quotient dbr:Serial_module dbr:Prime_element dbr:Clifford_algebra dbr:Gaussian_integer dbr:Finitely_generated_algebra dbr:List_of_mathematical_symbols_by_subject dbr:Algebraic_variety dbr:Lie_algebra_representation dbr:Quotient_module dbr:Algebraically_closed_field dbr:Symmetric_algebra dbr:Isomorphism_theorems dbr:Weyl_algebra dbr:Regular_ideal dbr:Complex_number dbr:Vector_space dbr:Integral_domain dbr:Super_vector_space dbr:Modular_arithmetic dbr:Ring_(mathematics) dbr:Euclidean_domain dbr:Extended_Euclidean_algorithm dbr:Factor dbr:Differential_operator dbr:Multiplicative_group_of_integers_modulo_n dbr:Injective_module dbr:Boolean_ring dbr:Dimension_theory_(algebra) dbr:Valuation_ring dbr:Dual_number dbr:Hensel's_lemma dbr:Universal_property dbr:Montgomery_modular_multiplication dbr:Product_of_rings dbr:Equations_defining_abelian_varieties dbr:Mathematics_Made_Difficult dbr:P-adic_number dbr:Quaternion_group dbr:Equivalence_class dbr:Maximal_ideal dbr:Fredholm_operator dbr:Characteristic_(algebra) dbr:Cohomology dbr:Radical_of_an_ideal dbr:Durand–Kerner_method dbr:Goldman_domain dbr:Primitive_ideal dbr:Ring_of_mixed_characteristic dbr:Kernel_(algebra) dbr:Exterior_algebra dbr:Quaternion dbr:-algebra dbr:Absolute_value_(algebra) dbr:Abstract_simplicial_complex dbr:Excellent_ring dbr:Eisenbud–Levine–Khimshiashvili_signature_formula dbr:Noncommutative_projective_geometry dbr:Applications_of_dual_quaternions_to_2D_geometry dbr:Module_(mathematics) dbr:Quotient dbr:Field_extension dbr:Rng_(algebra) dbr:Field_(mathematics) dbr:Simple_extension dbr:Chinese_remainder_theorem dbr:Ideal_(ring_theory) dbr:Z2 dbr:Associative_algebra dbr:Category_of_rings dbr:Ideal_class_group dbr:Irreducible_polynomial dbr:Splitting_field dbr:Glossary_of_ring_theory dbr:Nilradical_of_a_ring dbr:Irreducible_ring dbr:Kasch_ring dbr:Nagata_ring dbr:Unfolding_(functions) dbr:Unifying_theories_in_mathematics dbr:Factorization_of_polynomials dbr:Finite_field dbr:Artinian_ring dbr:Henselian_ring dbr:Local_Euler_characteristic_formula dbr:Primary_decomposition dbr:Field_of_fractions dbr:Idempotent_(ring_theory) dbr:Minimal_polynomial_(field_theory) dbr:Fermat_(computer_algebra_system) dbr:Reflective_subcategory dbr:Reduced_ring dbr:Canonical_map dbr:Polynomial_ring dbr:List_of_abstract_algebra_topics dbr:List_of_algebraic_constructions dbr:Localization_(commutative_algebra) dbr:Noetherian_ring dbr:Zero_ring dbr:Algebraic_function_field dbr:Cellular_algebra dbr:Hilbert–Burch_theorem dbr:Homogeneous_coordinate_ring dbr:Restricted_power_series dbr:Dedekind_zeta_function dbr:Affine_variety dbr:Projective_variety dbr:Tschirnhaus_transformation dbr:GF(2) dbr:Biquaternion dbr:Quotient_(universal_algebra) dbr:Hyperreal_number dbr:Ideal_lattice dbr:Ideal_norm dbr:Koszul–Tate_resolution dbr:Rees_algebra dbr:Bhargava_factorial dbr:Ring_learning_with_errors dbr:Quasi-Frobenius_ring dbr:Quotient_category dbr:Residue_field dbr:Graded-symmetric_algebra dbr:Universal_C-algebra dbr:Generic_matrix_ring dbr:Weierstrass_ring dbr:Conductor_(ring_theory) dbr:Quotient_(disambiguation) dbr:Quotient_type dbr:Galois_ring dbr:Factor_Ring dbr:Factor_ring dbr:Quotient_Ring dbr:Quotient_associative_algebra dbr:Residue_class_ring dbr:Residue_ring
is owl:differentFrom of	dbr:Field_of_fractions
is foaf:primaryTopic of	wikipedia-en:Quotient_ring