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- Tensor_algebra abstract "In mathematics, the tensor algebra of a vector space V, denoted T(V) or T •(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product. It is the free algebra on V, in the sense of being left adjoint to the forgetful functor from algebras to vector spaces: it is the \"most general\" algebra containing V, in the sense of the corresponding universal property (see below).The tensor algebra also has two coalgebra structures; one simple one, which does not make it a bialgebra, and a more complicated one, which yields a bialgebra, and can be extended with an antipode to a Hopf algebra structure.Note: In this article, all algebras are assumed to be unital and associative.".
- Tensor_algebra thumbnail TensorAlgebra-01.png?width=300.
- Tensor_algebra wikiPageExternalLink Algebra.html?id=STS9aZ6F204C&redir_esc=y.
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- Tensor_algebra wikiPageRevisionID "613790166".
- Tensor_algebra wikiPageWikiLink Adjoint_functors.
- Tensor_algebra wikiPageWikiLink Algebra_homomorphism.
- Tensor_algebra wikiPageWikiLink Algebra_over_a_field.
- Tensor_algebra wikiPageWikiLink Antihomomorphism.
- Tensor_algebra wikiPageWikiLink Associative_algebra.
- Tensor_algebra wikiPageWikiLink Associative_property.
- Tensor_algebra wikiPageWikiLink Basis_(linear_algebra).
- Tensor_algebra wikiPageWikiLink Bialgebra.
- Tensor_algebra wikiPageWikiLink Bimodule.
- Tensor_algebra wikiPageWikiLink Category:Algebras.
- Tensor_algebra wikiPageWikiLink Category:Hopf_algebras.
- Tensor_algebra wikiPageWikiLink Category:Multilinear_algebra.
- Tensor_algebra wikiPageWikiLink Category:Tensors.
- Tensor_algebra wikiPageWikiLink Category_of_modules.
- Tensor_algebra wikiPageWikiLink Clifford_algebra.
- Tensor_algebra wikiPageWikiLink Coalgebra.
- Tensor_algebra wikiPageWikiLink Commutative_diagram.
- Tensor_algebra wikiPageWikiLink Commutative_ring.
- Tensor_algebra wikiPageWikiLink Coproduct.
- Tensor_algebra wikiPageWikiLink Direct_sum_of_modules.
- Tensor_algebra wikiPageWikiLink Distributive_property.
- Tensor_algebra wikiPageWikiLink Exterior_algebra.
- Tensor_algebra wikiPageWikiLink Field_(mathematics).
- Tensor_algebra wikiPageWikiLink Fock_space.
- Tensor_algebra wikiPageWikiLink Forgetful_functor.
- Tensor_algebra wikiPageWikiLink Free_algebra.
- Tensor_algebra wikiPageWikiLink Free_object.
- Tensor_algebra wikiPageWikiLink Functor.
- Tensor_algebra wikiPageWikiLink Graded_ring.
- Tensor_algebra wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Tensor_algebra wikiPageWikiLink Ground_field.
- Tensor_algebra wikiPageWikiLink Hopf_algebra.
- Tensor_algebra wikiPageWikiLink Inclusion_map.
- Tensor_algebra wikiPageWikiLink Indeterminate_(variable).
- Tensor_algebra wikiPageWikiLink Integer.
- Tensor_algebra wikiPageWikiLink Linear_map.
- Tensor_algebra wikiPageWikiLink Mathematics.
- Tensor_algebra wikiPageWikiLink Module_(mathematics).
- Tensor_algebra wikiPageWikiLink Monoidal_category.
- Tensor_algebra wikiPageWikiLink Multilinear_subspace_learning.
- Tensor_algebra wikiPageWikiLink Noncommutative_ring.
- Tensor_algebra wikiPageWikiLink Q:Stanisław_Lem.
- Tensor_algebra wikiPageWikiLink Quotient_algebra.
- Tensor_algebra wikiPageWikiLink Riffle_shuffle_permutation.
- Tensor_algebra wikiPageWikiLink Springer_Science+Business_Media.
- Tensor_algebra wikiPageWikiLink Symmetric_algebra.
- Tensor_algebra wikiPageWikiLink Tensor.
- Tensor_algebra wikiPageWikiLink Tensor_product.
- Tensor_algebra wikiPageWikiLink Universal_enveloping_algebra.
- Tensor_algebra wikiPageWikiLink Universal_property.
- Tensor_algebra wikiPageWikiLink Up_to.
- Tensor_algebra wikiPageWikiLink Vector_space.
- Tensor_algebra wikiPageWikiLink File:TensorAlgebra-01.png.
- Tensor_algebra wikiPageWikiLinkText "Tensor algebra".
- Tensor_algebra wikiPageWikiLinkText "tensor algebra".
- Tensor_algebra wikiPageWikiLinkText "tensor".
- Tensor_algebra wikiPageUsesTemplate Template:Citation.
- Tensor_algebra wikiPageUsesTemplate Template:Cite_book.
- Tensor_algebra wikiPageUsesTemplate Template:Tensors.
- Tensor_algebra subject Category:Algebras.
- Tensor_algebra subject Category:Hopf_algebras.
- Tensor_algebra subject Category:Multilinear_algebra.
- Tensor_algebra subject Category:Tensors.
- Tensor_algebra hypernym Algebra.
- Tensor_algebra type Algebra.
- Tensor_algebra type Concept.
- Tensor_algebra type Physic.
- Tensor_algebra type Tensor.
- Tensor_algebra comment "In mathematics, the tensor algebra of a vector space V, denoted T(V) or T •(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product.".
- Tensor_algebra label "Tensor algebra".
- Tensor_algebra sameAs Q2296021.
- Tensor_algebra sameAs جبر_الموترات.
- Tensor_algebra sameAs Tensoralgebra.
- Tensor_algebra sameAs Álgebra_tensorial.
- Tensor_algebra sameAs Algèbre_tensorielle.
- Tensor_algebra sameAs אלגברת_הטנזורים.
- Tensor_algebra sameAs テンソル代数.
- Tensor_algebra sameAs 텐서_대수.
- Tensor_algebra sameAs Tensoralgebra.
- Tensor_algebra sameAs Álgebra_tensorial.
- Tensor_algebra sameAs m.01_qlw.
- Tensor_algebra sameAs Тензорная_алгебра.
- Tensor_algebra sameAs Tensoralgebra.
- Tensor_algebra sameAs Q2296021.
- Tensor_algebra sameAs 张量代数.
- Tensor_algebra wasDerivedFrom Tensor_algebra?oldid=613790166.
- Tensor_algebra depiction TensorAlgebra-01.png.
- Tensor_algebra isPrimaryTopicOf Tensor_algebra.