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Was (wer) ist tensor algebras - definition
TENSOR PRODUCT OF ALGEBRAS OVER A FIELD; ITSELF ANOTHER ALGEBRA
Tensor product of R-algebras; Tensor product of rings; Tensor product algebra
Tensor product of algebras
In mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra. This gives the tensor product of algebras.
Tensor algebra
UNIVERSAL CONSTRUCTION IN MULTILINEAR ALGEBRA
Tensor power; Tensor coalgebra; Tensor ring; Tensor-algebra bundle
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).
Tensor density
GENERALIZATION OF TENSOR FIELDS
Relative tensor; Tensor densities; Vector density
In differential geometry, a tensor density or relative tensor is a generalization of the tensor field concept. A tensor density transforms as a tensor field when passing from one coordinate system to another (see tensor field), except that it is additionally multiplied or weighted by a power W of the Jacobian determinant of the coordinate transition function or its absolute value.
Wikipedia
Tensor product of algebras
In mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra. This gives the tensor product of algebras. When the ring is a field, the most common application of such products is to describe the product of algebra representations.
