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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 left-module and a right-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_modules.png?width=300.
- Tensor_product_of_modules wikiPageID "2993836".
- Tensor_product_of_modules wikiPageRevisionID "594155219".
- Tensor_product_of_modules hasPhotoCollection Tensor_product_of_modules.
- Tensor_product_of_modules subject Category:Binary_operations.
- Tensor_product_of_modules subject Category:Homological_algebra.
- Tensor_product_of_modules subject Category:Module_theory.
- Tensor_product_of_modules subject Category:Multilinear_algebra.
- Tensor_product_of_modules type BinaryOperations.
- Tensor_product_of_modules type BooleanOperation113440935.
- Tensor_product_of_modules type DataProcessing113455487.
- Tensor_product_of_modules type Operation113524925.
- Tensor_product_of_modules type PhysicalEntity100001930.
- Tensor_product_of_modules type Process100029677.
- Tensor_product_of_modules type Processing113541167.
- Tensor_product_of_modules comment "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 left-module and a right-module over any ring, with result an abelian group.".
- Tensor_product_of_modules label "Iloczyn tensorowy modułów".
- Tensor_product_of_modules label "Produit tensoriel de deux modules".
- Tensor_product_of_modules label "Tensor product of modules".
- Tensor_product_of_modules sameAs Produit_tensoriel_de_deux_modules.
- Tensor_product_of_modules sameAs Iloczyn_tensorowy_modułów.
- Tensor_product_of_modules sameAs m.08jbkc.
- Tensor_product_of_modules sameAs Q3406761.
- Tensor_product_of_modules sameAs Q3406761.
- Tensor_product_of_modules sameAs Tensor_product_of_modules.
- Tensor_product_of_modules wasDerivedFrom Tensor_product_of_modules?oldid=594155219.
- Tensor_product_of_modules depiction Tensor_product_of_modules.png.
- Tensor_product_of_modules isPrimaryTopicOf Tensor_product_of_modules.
