The tensor product of triples as multilinear product.

José L. Freire Nistal; Miguel A. López López

Revista Matemática de la Universidad Complutense de Madrid (1993)

  • Volume: 6, Issue: 1, page 13-25
  • ISSN: 1139-1138

Abstract

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In this paper we introduce a notion of multilinear product for triples in Set, which if it is given by a distributive law then coincides with the one given by Bunge. We also demonstrate that the tensor product of two triples, if there exists, is an initial object in a suitable category of multilinear products.

How to cite

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Freire Nistal, José L., and López López, Miguel A.. "The tensor product of triples as multilinear product.." Revista Matemática de la Universidad Complutense de Madrid 6.1 (1993): 13-25. <http://eudml.org/doc/43765>.

@article{FreireNistal1993,
abstract = {In this paper we introduce a notion of multilinear product for triples in Set, which if it is given by a distributive law then coincides with the one given by Bunge. We also demonstrate that the tensor product of two triples, if there exists, is an initial object in a suitable category of multilinear products.},
author = {Freire Nistal, José L., López López, Miguel A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Triple; Producto tensorial; Algebra nilpotente; Teoría de categorías; tensor product of triples; multilinear distributive law; multilinear product},
language = {eng},
number = {1},
pages = {13-25},
title = {The tensor product of triples as multilinear product.},
url = {http://eudml.org/doc/43765},
volume = {6},
year = {1993},
}

TY - JOUR
AU - Freire Nistal, José L.
AU - López López, Miguel A.
TI - The tensor product of triples as multilinear product.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1993
VL - 6
IS - 1
SP - 13
EP - 25
AB - In this paper we introduce a notion of multilinear product for triples in Set, which if it is given by a distributive law then coincides with the one given by Bunge. We also demonstrate that the tensor product of two triples, if there exists, is an initial object in a suitable category of multilinear products.
LA - eng
KW - Triple; Producto tensorial; Algebra nilpotente; Teoría de categorías; tensor product of triples; multilinear distributive law; multilinear product
UR - http://eudml.org/doc/43765
ER -

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