product of algebras

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• Tensor product of algebras — In mathematics, the tensor product of two R algebras is also an R algebra in a natural way. This gives us a tensor product of algebras. The special case R = Z gives us a tensor product of rings, since rings may be regarded as Z algebras.Let R be… …   Wikipedia

• Product (mathematics) — In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of… …   Wikipedia

• Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

• Subdirect product — In mathematics, especially in the areas of abstract algebra known as universal algebra, group theory, ring theory, and module theory, a subdirect product is a subalgebra of a direct product that depends fully on all its factors without however… …   Wikipedia

• Tensor product of modules — In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (roughly speaking, multiplication ) to be carried out in terms of linear maps (module homomorphisms). The module construction is analogous… …   Wikipedia

• Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… …   Wikipedia

• Crossed product — In mathematics, and more specifically in the theory of von Neumann algebras, a crossed product is a basic method of constructing a new von Neumann algebra from a von Neumann algebra acted on by a group. It is related to the semidirect product… …   Wikipedia

• Classification of Clifford algebras — In mathematics, in particular in the theory of nondegenerate quadratic forms on real and complex vector spaces, the finite dimensional Clifford algebras have been completely classified in terms of isomorphisms that preserve the Clifford product.… …   Wikipedia

• Representation theory of Hopf algebras — In abstract algebra, a representation of a Hopf algebra is a representation of its underlying associative algebra. That is, a representation of a Hopf algebra H over a field K is a K vector space V with an action H × V → V usually denoted by… …   Wikipedia

• Tensor product — In mathematics, the tensor product, denoted by otimes, may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules. In each case the significance of the symbol is the same:… …   Wikipedia

• Seven-dimensional cross product — In mathematics, the seven dimensional cross product is a binary operation on vectors in a seven dimensional Euclidean space. It is a generalization of the ordinary three dimensional cross product. The seven dimensional cross product has the same… …   Wikipedia