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Tensor Products and Bimorphisms

Published online by Cambridge University Press:  20 November 2018

Bernhard Banaschewski  and
Evelyn Nelson
Bernhard Banaschewski
Affiliation:
Department of Mathematics, McMaster University1280 Main Street Hamilton, Ontario, CanadaL85 4K1
Evelyn Nelson
Affiliation:
Department of Mathematics, McMaster University1280 Main Street Hamilton, Ontario, CanadaL85 4K1
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 385 - 402
Copyright
Copyright © Canadian Mathematical Society 1976

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