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Tensor Products and Bimorphisms

1976; Cambridge University Press; Volume: 19; Issue: 4 Linguagem: Inglês

10.4153/cmb-1976-060-2

1496-4287

Bernhard Banaschewski, Evelyn Nelson,

Algebraic structures and combinatorial models

The binary tensor product, for modules over a commutative ring, has two different aspects: its connection with universal bilinear maps and its adjointness to the internal hom-functor. Furthermore, in the special situation of finite-dimensional vector spaces, the tensor product can also be described in terms of dual spaces and the internal hom-functor. The aim of this paper is to investigate these relationships in the setting of arbitrary concrete categories.