Tensor products of Archimedean partially ordered vector spaces

@article{Gaans2010TensorPO,
  title={Tensor products of Archimedean partially ordered vector spaces},
  author={Onno van Gaans and Anke Kalauch},
  journal={Positivity},
  year={2010},
  volume={14},
  pages={705-714}
}
We study the tensor product of two directed Archimedean partially ordered vector spaces X and Y by means of Riesz completions. With the aid of the Fremlin tensor product of the Riesz completions of X and Y we show that the projective cone in X ⊗ Y is contained in an Archimedean cone. The smallest Archimedean cone containing the projective cone satisfies an appropriate universal mapping property. 
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