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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.
- Tensor_algebra wikiPageID "363628".
- Tensor_algebra wikiPageRevisionID "595616516".
- Tensor_algebra hasPhotoCollection Tensor_algebra.
- Tensor_algebra subject Category:Algebras.
- Tensor_algebra subject Category:Hopf_algebras.
- Tensor_algebra subject Category:Multilinear_algebra.
- Tensor_algebra subject Category:Tensors.
- Tensor_algebra type Abstraction100002137.
- Tensor_algebra type Algebra106012726.
- Tensor_algebra type Algebras.
- Tensor_algebra type Cognition100023271.
- Tensor_algebra type Content105809192.
- Tensor_algebra type Discipline105996646.
- Tensor_algebra type KnowledgeDomain105999266.
- Tensor_algebra type Mathematics106000644.
- Tensor_algebra type PsychologicalFeature100023100.
- Tensor_algebra type PureMathematics106003682.
- Tensor_algebra type Science105999797.
- 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 "Algèbre tensorielle".
- Tensor_algebra label "Tensor algebra".
- Tensor_algebra label "Tensoralgebra".
- Tensor_algebra label "Tensoralgebra".
- Tensor_algebra label "Álgebra tensorial".
- Tensor_algebra label "Тензорная алгебра".
- Tensor_algebra label "جبر الموترات".
- Tensor_algebra label "张量代数".
- Tensor_algebra sameAs Tensoralgebra.
- Tensor_algebra sameAs Álgebra_tensorial.
- Tensor_algebra sameAs Algèbre_tensorielle.
- Tensor_algebra sameAs Tensoralgebra.
- Tensor_algebra sameAs m.01_qlw.
- Tensor_algebra sameAs Q2296021.
- Tensor_algebra sameAs Q2296021.
- Tensor_algebra sameAs Tensor_algebra.
- Tensor_algebra wasDerivedFrom Tensor_algebra?oldid=595616516.
- Tensor_algebra depiction TensorAlgebra-01.png.
- Tensor_algebra isPrimaryTopicOf Tensor_algebra.
