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Tag Archives: tensor product
Commutative Algebra 30
Tensor Product of AAlgebras Proposition 1. Let B, C be Aalgebras. Their tensor product has a natural structure of an Aalgebra which satisfies . Proof Fix . The map is Abilinear so it induces an Alinear map Now varying (b, c) gives … Continue reading
Posted in Advanced Algebra
Tagged algebraic geometry, algebras, coproducts, fibres, tensor product, varieties
2 Comments
Commutative Algebra 28
Tensor Products In this article (and the next few), we will discuss tensor products of modules over a ring. Here is a motivating example of tensor products. Example If and are real vector spaces, then is the vector space with … Continue reading
Posted in Advanced Algebra
Tagged bilinear maps, distributive property, modules, tensor product, universal properties
2 Comments