Tensor algebra
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 ). Note: In this article, all algebras are assumed to be unital and associative. The unit is explicitly required to define the coproduct.
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Tensor algebra
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 ). Note: In this article, all algebras are assumed to be unital and associative. The unit is explicitly required to define the coproduct.
has abstract
Em matemática, a álgebra tenso ...... alização do cálculo tensorial.
@pt
En matemática, el álgebra tens ...... ización del cálculo tensorial.
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En mathématiques, une algèbre ...... étrique, l'algèbre extérieure…
@fr
En tensoralgebra är en matemat ...... vara unitära och associativa.
@sv
In de abstracte algebra, een o ...... en is onder het tensorproduct.
@nl
In mathematics, the tensor alg ...... uired to define the coproduct.
@en
Тензорной алгеброй линейного п ...... соотношениями для этих полей).
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Тензорною алгеброю лінійного п ...... іввідношеннями для цих полів).
@uk
جَبْر المُوَتِّرَات (بالإنجليز ...... دها مع نقيض إلى بنية جبر هوبف.
@ar
在数学中,一个向量空间的张量代数(tensor algebr ...... 具有余代数结构。 注:本文中所有代数都假设是有单位的且结合。
@zh
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Em matemática, a álgebra tenso ...... alização do cálculo tensorial.
@pt
En matemática, el álgebra tens ...... ización del cálculo tensorial.
@es
En mathématiques, une algèbre ...... c des tableaux de coordonnées.
@fr
En tensoralgebra är en matemat ...... vara unitära och associativa.
@sv
In de abstracte algebra, een o ...... en is onder het tensorproduct.
@nl
In mathematics, the tensor alg ...... uired to define the coproduct.
@en
Тензорной алгеброй линейного п ...... соотношениями для этих полей).
@ru
Тензорною алгеброю лінійного п ...... іввідношеннями для цих полів).
@uk
جَبْر المُوَتِّرَات (بالإنجليز ...... تلطة من النوعين السابقين mixed
@ar
在数学中,一个向量空间的张量代数(tensor algebr ...... 具有余代数结构。 注:本文中所有代数都假设是有单位的且结合。
@zh
label
Algèbre tensorielle
@fr
Tensor algebra
@en
Tensoralgebra
@de
Tensoralgebra
@nl
Tensoralgebra
@sv
Álgebra tensorial
@es
Álgebra tensorial
@pt
Тензорна алгебра
@uk
Тензорная алгебра
@ru
جبر الموترات
@ar