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- Q2296021 subject Q8234763.
- Q2296021 subject Q8522125.
- Q2296021 subject Q8799375.
- Q2296021 subject Q8843500.
- Q2296021 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.".
- Q2296021 thumbnail TensorAlgebra-01.png?width=300.
- Q2296021 wikiPageExternalLink Algebra.html?id=STS9aZ6F204C&redir_esc=y.
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- Q2296021 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.".
- Q2296021 label "Tensor algebra".
- Q2296021 depiction TensorAlgebra-01.png.
