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• Tensor_product_of_modules abstract "In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps (module homomorphisms). The module construction is analogous to the construction of the tensor product of vector spaces, but can be carried out for a pair of modules over a commutative ring resulting in a third module, and also for a pair of a right-module and a left-module over any ring, with result an abelian group. Tensor products are important in areas of abstract algebra, homological algebra, algebraic topology and algebraic geometry. The universal property of the tensor product of vector spaces extends to more general situations in abstract algebra. It allows the study of bilinear or multilinear operations via linear operations. The tensor product of an algebra and a module can be used for extension of scalars. For a commutative ring, the tensor product of modules can be iterated to form the tensor algebra of a module, allowing one to define multiplication in the module in a universal way.".
• Tensor_product_of_modules thumbnail Tensor_product_of_modules2.svg?width=300.
• Tensor_product_of_modules wikiPageExternalLink Tensor_bundle.
• Tensor_product_of_modules wikiPageExternalLink maybook.pdf.
• Tensor_product_of_modules wikiPageID "2993836".
• Tensor_product_of_modules wikiPageLength "43896".
• Tensor_product_of_modules wikiPageOutDegree "106".
• Tensor_product_of_modules wikiPageRevisionID "702805447".
• Tensor_product_of_modules wikiPageWikiLink Abelian_group.
• Tensor_product_of_modules wikiPageWikiLink Abstract_algebra.
• Tensor_product_of_modules wikiPageWikiLink Adjoint_functors.
• Tensor_product_of_modules wikiPageWikiLink Algebraic_geometry.
• Tensor_product_of_modules wikiPageWikiLink Algebraic_topology.
• Tensor_product_of_modules wikiPageWikiLink Annihilator_(ring_theory).
• Tensor_product_of_modules wikiPageWikiLink Associative_property.
• Tensor_product_of_modules wikiPageWikiLink Bilinear_map.
• Tensor_product_of_modules wikiPageWikiLink Bimodule.
• Tensor_product_of_modules wikiPageWikiLink Cardinality.
• Tensor_product_of_modules wikiPageWikiLink Cardinality_of_the_continuum.
• Tensor_product_of_modules wikiPageWikiLink Category:Binary_operations.
• Tensor_product_of_modules wikiPageWikiLink Category:Homological_algebra.
• Tensor_product_of_modules wikiPageWikiLink Category:Module_theory.
• Tensor_product_of_modules wikiPageWikiLink Category:Multilinear_algebra.
• Tensor_product_of_modules wikiPageWikiLink Category_of_abelian_groups.
• Tensor_product_of_modules wikiPageWikiLink Category_of_modules.
• Tensor_product_of_modules wikiPageWikiLink Category_of_sets.
• Tensor_product_of_modules wikiPageWikiLink Center_(algebra).
• Tensor_product_of_modules wikiPageWikiLink Change_of_rings.
• Tensor_product_of_modules wikiPageWikiLink Chinese_remainder_theorem.
• Tensor_product_of_modules wikiPageWikiLink Coequalizer.
• Tensor_product_of_modules wikiPageWikiLink Coherent_sheaf.
• Tensor_product_of_modules wikiPageWikiLink Commutative_ring.
• Tensor_product_of_modules wikiPageWikiLink Commutator.
• Tensor_product_of_modules wikiPageWikiLink Cyclic_group.
• Tensor_product_of_modules wikiPageWikiLink D-module.
• Tensor_product_of_modules wikiPageWikiLink Differential_form.
• Tensor_product_of_modules wikiPageWikiLink Direct_product.
• Tensor_product_of_modules wikiPageWikiLink Direct_sum_of_modules.
• Tensor_product_of_modules wikiPageWikiLink Distributive_property.
• Tensor_product_of_modules wikiPageWikiLink Dual_pair.
• Tensor_product_of_modules wikiPageWikiLink Exact_functor.
• Tensor_product_of_modules wikiPageWikiLink Flat_module.
• Tensor_product_of_modules wikiPageWikiLink Free_abelian_group.
• Tensor_product_of_modules wikiPageWikiLink Free_presentation.
• Tensor_product_of_modules wikiPageWikiLink Functor.
• Tensor_product_of_modules wikiPageWikiLink Global_section_functor.
• Tensor_product_of_modules wikiPageWikiLink Glossary_of_tensor_theory.
• Tensor_product_of_modules wikiPageWikiLink Hom_functor.
• Tensor_product_of_modules wikiPageWikiLink Homological_algebra.
• Tensor_product_of_modules wikiPageWikiLink Imaginary_unit.
• Tensor_product_of_modules wikiPageWikiLink Index_set.
• Tensor_product_of_modules wikiPageWikiLink Induced_representation.
• Tensor_product_of_modules wikiPageWikiLink Inverse_limit.
• Tensor_product_of_modules wikiPageWikiLink Linear_map.
• Tensor_product_of_modules wikiPageWikiLink Localization_of_a_module.
• Tensor_product_of_modules wikiPageWikiLink Mathematics.
• Tensor_product_of_modules wikiPageWikiLink Module_(mathematics).
• Tensor_product_of_modules wikiPageWikiLink Module_homomorphism.
• Tensor_product_of_modules wikiPageWikiLink Natural_transformation.
• Tensor_product_of_modules wikiPageWikiLink Ordered_pair.
• Tensor_product_of_modules wikiPageWikiLink P-adic_number.
• Tensor_product_of_modules wikiPageWikiLink Pointwise.
• Tensor_product_of_modules wikiPageWikiLink Profinite_integer.
• Tensor_product_of_modules wikiPageWikiLink Projective_module.
• Tensor_product_of_modules wikiPageWikiLink Pure_submodule.
• Tensor_product_of_modules wikiPageWikiLink Pushout_(category_theory).
• Tensor_product_of_modules wikiPageWikiLink Representable_functor.
• Tensor_product_of_modules wikiPageWikiLink Representation_theory.
• Tensor_product_of_modules wikiPageWikiLink Ring_(mathematics).
• Tensor_product_of_modules wikiPageWikiLink Ringed_space.
• Tensor_product_of_modules wikiPageWikiLink Section_(fiber_bundle).
• Tensor_product_of_modules wikiPageWikiLink Sheaf_of_modules.
• Tensor_product_of_modules wikiPageWikiLink Subbundle.
• Tensor_product_of_modules wikiPageWikiLink Tensor-hom_adjunction.
• Tensor_product_of_modules wikiPageWikiLink Tensor_algebra.
• Tensor_product_of_modules wikiPageWikiLink Tensor_contraction.
• Tensor_product_of_modules wikiPageWikiLink Tensor_field.
• Tensor_product_of_modules wikiPageWikiLink Tensor_product.
• Tensor_product_of_modules wikiPageWikiLink Tensor_product_bundle.
• Tensor_product_of_modules wikiPageWikiLink Tensor_product_of_algebras.
• Tensor_product_of_modules wikiPageWikiLink Tensor_product_of_fields.
• Tensor_product_of_modules wikiPageWikiLink Tor_functor.
• Tensor_product_of_modules wikiPageWikiLink Torsion_abelian_group.
• Tensor_product_of_modules wikiPageWikiLink Torsionless_module.
• Tensor_product_of_modules wikiPageWikiLink Trace_(linear_algebra).
• Tensor_product_of_modules wikiPageWikiLink Universal_coefficient_theorem.
• Tensor_product_of_modules wikiPageWikiLink Universal_property.
• Tensor_product_of_modules wikiPageWikiLink Up_to.
• Tensor_product_of_modules wikiPageWikiLink Vector_space.
• Tensor_product_of_modules wikiPageWikiLink Weil_restriction.
• Tensor_product_of_modules wikiPageWikiLink File:Tensor_product_of_modules2.svg.
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor product of modules".
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor product of modules#As linearity-preserving maps".
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor product of modules#Balanced product".
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor product of modules#Tensor product of sheaves of modules".
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor_product_of_modules#Definition".
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor_product_of_modules#Tensor_product_of_complexes_of_modules".
• Tensor_product_of_modules wikiPageWikiLinkText "Tensor_product_of_modules#Tensor_product_of_sheaves_of_modules".
• Tensor_product_of_modules wikiPageWikiLinkText "main article".
• Tensor_product_of_modules wikiPageWikiLinkText "middle linear map".

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