In mathematics, the tensor product of two algebras over a commutative ring R is also an R-algebra.

In mathematics, the tensor product of two fields is their tensor product as algebras over a common subfield.

In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps.

In mathematics, and in particular functional analysis, the tensor product of Hilbert spaces is a way to extend the tensor product construction so that the result of taking a tensor product of two Hilbert spaces is another Hilbert space.

In mathematics, the tensor product of representations is a tensor product of vector spaces underlying representations together with the factor-wise group action on the product.

In graph theory, the tensor product of graphs and is a graph such that

In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces.