About: Associative algebra

Property	Value
dbo:description	алгебра над кольцом, умножение в которой ассоциативно (ru) 結合的な環であって、かつそれと両立するような、体上の線型空間の構造を備えたもの (ja) struktur aljabar dengan operasi penjumlahan, perkalian yang kompatibel (diasumsikan sebagai asosiatif), dan perkalian skalar dengan elemen bidang (in) algebra over a ring such that multiplication is associative (en)
dbo:wikiPageExternalLink	https://ghostarchive.org/archive/20221009/http:/math.mit.edu/~etingof/artinnotes.pdf http://ebooks.library.cornell.edu/cgi/t/text/text-idx%3Fc=math;cc=math;view=toc;subview=short;idno=05160001 https://web.archive.org/web/20050825034431/http:/www-texdev.ics.mq.edu.au/Quantum/Quantum.ps http://math.mit.edu/~etingof/artinnotes.pdf https://books.google.com/books%3Fid=STS9aZ6F204C&q=%22associative+algebra%22
dbo:wikiPageWikiLink	dbr:Algebraic_group dbr:Noncommutative_algebraic_geometry dbr:Stochastic_calculus dbr:Linear_operator dbr:Subcategory dbr:Clifford_algebra dbr:Coproduct dbr:Coalgebra dbr:Category_of_abelian_groups dbr:Module_homomorphism dbr:Monoidal_category dbr:Morphism dbr:Cornell_University dbr:Lattice_(order) dbr:Order_(ring_theory) dbr:Matrix_multiplication dbr:Symmetric_algebra dbr:Weyl_algebra dbr:Tensor_algebra dbr:Endomorphism_ring dbr:Complex_number dbr:Integer dbr:Real_number dbr:Limit_of_a_function dbr:Topology dbr:Vector_space dbr:Scalar_multiplication dbr:F-coalgebra dbr:Abstract_algebra dbr:Ring_(mathematics) dbr:Homomorphism dbr:Bialgebra dbc:Algebras dbr:Subring dbr:Hopf_algebra dbr:Tensor_product dbr:Group_ring dbr:Combinatorics dbr:Affine_scheme dbr:Free_product_of_associative_algebras dbr:Tensor_product_of_modules dbr:Mathematics dbr:Physics dbr:Convolution dbr:Change_of_rings dbr:Free_algebra dbr:Commutative_diagram dbr:Quotient_ring dbr:Characteristic_(algebra) dbr:Ring_homomorphism dbr:Free_module dbr:Category_of_modules dbr:Geometry dbr:Representation_theory dbr:Associative_property dbr:Exterior_algebra dbr:Quaternion dbr:Semimartingale dbr:Algebra_(ring_theory) dbr:Algebra_over_a_field dbr:Complex_Lie_group dbr:Monoid_(category_theory) dbr:Azumaya_algebra dbr:Separable_algebra dbr:Sheaf_of_algebras dbr:Axiom dbr:Module_(mathematics) dbr:Submodule dbc:Algebraic_geometry dbr:Field_(mathematics) dbr:Multiplicative_identity dbr:Algebraic_structure dbr:Ideal_(ring_theory) dbr:Matrix_(mathematics) dbr:Polynomial dbr:Category_(mathematics) dbr:Tensor_product_of_algebras dbr:Lie_algebra dbr:Functor dbr:Partially_ordered_set dbr:Artinian_ring dbr:Banach_algebra dbr:Universal_enveloping_algebra dbr:Brauer_algebra dbr:Locally_finite_poset dbr:Continuous_function_(topology) dbr:Ringed_space dbr:Abelian_group dbr:Square_matrix dbr:Polynomial_ring dbr:Commutative_ring dbr:Banach_space dbr:Incidence_algebra dbr:Projective_module dbr:Filtration_(mathematics) dbr:Coordinate_ring dbr:Center_(ring_theory) dbr:Tensor_product_of_representations dbr:Commutative dbr:Partition_algebra dbr:Springer-Verlag dbr:Λ-ring dbr:Generic_matrix_ring dbr:Derived_algebraic_geometry dbr:Artin–Wedderburn_theorem dbr:Structure_map dbr:Unital_algebra dbr:Left_adjoint dbr:Prime_spectrum dbr:Simple_Artinian_ring dbr:Tensor_product_of_rings dbr:Levi's_theorem dbr:Temperley-Lieb_algebra dbr:Categorial_duality dbr:Category_of_commutative_rings dbr:Center_of_a_ring dbr:Comultiplication dbr:Coslice_category dbr:Quiver_algebra
dbp:wikiPageUsesTemplate	dbt:Mset dbt:Authority_control dbt:Cite_book dbt:! dbt:Cite_web dbt:Main dbt:Reflist dbt:Notelist dbt:Cite_journal dbt:Expand_section dbt:Sfn dbt:See_also dbt:Algebraic_structures dbt:Citation dbt:Use_American_English dbt:Ring_theory_sidebar dbt:Refend dbt:About dbt:Sfrac dbt:Refbegin dbt:Citation_needed dbt:Use_mdy_dates dbt:Itco dbt:Slink dbt:Vanchor dbt:Efn dbt:Overset dbt:Short_description dbt:Use_shortened_footnotes
dct:subject	dbc:Algebras dbc:Algebraic_geometry
gold:hypernym	dbr:Structure
rdfs:label	Associative algebra (en) Àlgebra associativa (ca) Asocieca alĝebro (eo) Assoziative Algebra (de) Álgebra asociativa (es) Aljabar asosiatif (in) Algèbre associative (fr) 結合多元環 (ja) 결합 대수 (ko) Associatieve algebra (nl) Álgebra associativa (pt) Асоціативна алгебра (uk) 結合代數 (zh)
rdfs:seeAlso	dbr:Central_simple_algebra dbr:Lie_algebra_representation dbr:Non-associative_algebra
owl:sameAs	freebase:Associative algebra yago-res:Associative algebra http://d-nb.info/gnd/4293934-3 wikidata:Associative algebra dbpedia-nl:Associative algebra dbpedia-de:Associative algebra dbpedia-fr:Associative algebra dbpedia-zh:Associative algebra dbpedia-ja:Associative algebra dbpedia-pt:Associative algebra dbpedia-he:Associative algebra dbpedia-es:Associative algebra dbpedia-fa:Associative algebra dbpedia-ko:Associative algebra dbpedia-id:Associative algebra dbpedia-ca:Associative algebra dbpedia-eo:Associative algebra dbpedia-ia:Associative algebra dbpedia-uk:Associative algebra dbpedia-global:Associative algebra dbr:Associative algebra
prov:wasDerivedFrom	wikipedia-en:Associative_algebra?oldid=1292321730&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Associative_algebra
is dbo:wikiPageDisambiguates of	dbr:Algebra_(disambiguation)
is dbo:wikiPageRedirects of	dbr:Abelian_algebra dbr:Linear_associative_algebra dbr:Wedderburn_principal_theorem dbr:Bidimension_of_an_associative_algebra dbr:Unital_associative_algebra dbr:Commutative_R-algebra dbr:Commutative_algebra_(structure) dbr:Associative_Algebra dbr:Associative_R-algebra dbr:Associative_algebras dbr:R-algebra
is dbo:wikiPageWikiLink of	dbr:List_of_functional_analysis_topics dbr:Poisson_algebra dbr:Jordan_operator_algebra dbr:Loop_algebra dbr:Noncommutative_Jordan_algebra dbr:Four-dimensional_space dbr:Dirac_delta_function dbr:Clifford_algebra dbr:Coalgebra dbr:Finitely_generated_algebra dbr:Model_category dbr:Module_homomorphism dbr:Algebra dbr:Non-abelian_group dbr:Central_simple_algebra dbr:Lie_algebra_representation dbr:Tangent_bundle dbr:Frobenius_algebra dbr:Matrix_multiplication dbr:Hilbert's_Nullstellensatz dbr:Tropical_semiring dbr:Tensor_algebra dbr:Associator dbr:Real_number dbr:Vector_space dbr:Subalgebra dbr:Timeline_of_algebra dbr:Graded_vector_space dbr:W-algebra dbr:Derived_functor dbr:Trace_(linear_algebra) dbr:Abstract_algebra dbr:Ring_(mathematics) dbr:Bialgebra dbr:Quiver_(mathematics) dbr:Frobenius_theorem_(real_division_algebras) dbr:Hopf_algebra dbr:Quantum_group dbr:Classical_group dbr:Injective_module dbr:Boolean_ring dbr:Fourier_algebra dbr:Fréchet_algebra dbr:Functional-theoretic_algebra dbr:Hall_algebra dbr:Partial_group_algebra dbr:Linear_algebraic_group dbr:Theodor_Molien dbr:Noncommutative_geometry dbr:Jordan_algebra dbr:Product_(mathematics) dbr:Universal_property dbr:Simple_ring dbr:Operator_product_expansion dbr:Free_product_of_associative_algebras dbr:Enveloping_algebra dbr:Center_(algebra) dbr:Duality_(mathematics) dbr:Convolution dbr:Algebra_(disambiguation) dbr:Semisimple_algebra dbr:Cayley–Dickson_construction dbr:Change_of_rings dbr:Fred_Van_Oystaeyen dbr:Free_object dbr:General_topology dbr:Quotient_ring dbr:Mathematics_Subject_Classification dbr:Hypercomplex_number dbr:Operad dbr:Cohomology dbr:Ring_homomorphism dbr:Power_associativity dbr:Category_algebra dbr:Glossary_of_order_theory dbr:Primitive_ideal dbr:Projective_bundle dbr:Bose–Mesner_algebra dbr:Lie-admissible_algebra dbr:Emmy_Noether dbr:Representation_theory dbr:Exterior_algebra dbr:Quaternion dbr:Topological_algebra dbr:Algebra_homomorphism dbr:Algebra_over_a_field dbr:Monoid_(category_theory) dbr:*-algebra dbr:Separable_algebra dbr:Bicyclic_semigroup dbr:Clifford_bundle dbr:Levi_decomposition dbr:Tilting_theory dbr:Nilpotent_algebra dbr:Flexible_algebra dbr:Linear_complex_structure dbr:Determinant dbr:Adjoint_functors dbr:Field_extension dbr:Hamiltonian_mechanics dbr:Eigenvalues_and_eigenvectors dbr:Field_(mathematics) dbr:Isomorphism_class dbr:Linear_map dbr:Triangular_matrix dbr:Matrix_(mathematics) dbr:Polynomial dbr:Ring_of_polynomial_functions dbr:Ring_theory dbr:Tensor_product_of_algebras dbr:Benjamin_Peirce dbr:Lie_algebra dbr:Functor dbr:Cartan_matrix dbr:Glossary_of_ring_theory dbr:Differential_graded_algebra dbr:Matrix_ring dbr:List_of_important_publications_in_mathematics dbr:Differential_algebra dbr:Unifying_theories_in_mathematics dbr:Eduard_Study dbr:Spinor dbr:Outline_of_academic_disciplines dbr:Banach_algebra dbr:Characteristic_polynomial dbr:Entire_function dbr:Multivector dbr:Heisenberg_group dbr:Kähler_differential dbr:Universal_algebra dbr:Universal_enveloping_algebra dbr:Split-quaternion dbr:Anatoly_Shirshov dbr:Hilbert's_fourteenth_problem dbr:Braided_Hopf_algebra dbr:Brauer_algebra dbr:List_of_people_considered_father_or_mother_of_a_scientific_field dbr:Locally_finite_poset dbr:Schur_algebra dbr:Series_(mathematics) dbr:Idempotent_(ring_theory) dbr:Affine_Hecke_algebra dbr:Reflective_subcategory dbr:Multicategory dbr:Rota–Baxter_algebra dbr:Zariski's_lemma dbr:Quantized_enveloping_algebra dbr:Tangent_space dbr:Formal_power_series dbr:Polynomial_ring dbr:Incidence_algebra dbr:Cyclic_homology dbr:Stone–Weierstrass_theorem dbr:Thomas_Kirkman dbr:Operator_norm dbr:Bounded_variation dbr:Alternative_algebra dbr:Commutator dbr:Rational_point dbr:Algebra_representation dbr:Algebraically_compact_module dbr:Cellular_algebra dbr:Colombeau_algebra dbr:Comodule dbr:Pre-Lie_algebra dbr:Trivial_representation dbr:Geometric_algebra dbr:Division_algebra dbr:Peirce_decomposition dbr:Aleksandr_Olshansky dbr:Centrosymmetric_matrix dbr:List_of_named_matrices dbr:Association_scheme dbr:Krull–Schmidt_category dbr:Center_(ring_theory) dbr:G-algebra dbr:Generalized_Clifford_algebra dbr:Abelian_algebra dbr:Dual_quaternion dbr:Quaternionic_representation dbr:Representation_theory_of_Hopf_algebras dbr:Representation_theory_of_diffeomorphism_groups dbr:Restricted_representation dbr:Graded_ring dbr:Vasiliev_equations dbr:Partition_algebra dbr:Outline_of_algebraic_structures dbr:Vector-valued_differential_form dbr:Verlinde_algebra dbr:Glossary_of_category_theory dbr:Free_presentation dbr:Glossary_of_functional_analysis dbr:Automorphism_group dbr:Augmentation_(algebra) dbr:Triple_system dbr:Operad_algebra dbr:Homotopy_associative_algebra dbr:Taft_Hopf_algebra dbr:Alternating_algebra dbr:Associative_bialgebroid dbr:Linear_associative_algebra dbr:Outline_of_formal_science dbr:Aleksandr_Gennadievich_Kurosh dbr:Wedderburn_principal_theorem dbr:Bidimension_of_an_associative_algebra dbr:Unital_associative_algebra dbr:Commutative_R-algebra dbr:Commutative_algebra_(structure) dbr:Associative_Algebra dbr:Associative_R-algebra dbr:Associative_algebras dbr:R-algebra
is rdfs:seeAlso of	dbr:Ring_(mathematics) dbr:Factorization_algebra
is foaf:primaryTopic of	wikipedia-en:Associative_algebra