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Article Dans Une Revue Pacific Journal of Mathematics Année : 1996

Tensor products of structures with interpolation

Résumé

While it is known that the tensor product of two dimension groups is a dimension group, the corresponding problem for interpolation groups has been open for a while. We solve this problem here, by proving that the tensor product of two interpolation groups may not be an interpolation group, even for directed, torsion-free interpolation groups. We also solve the corresponding problems for refinement monoids (with tensor product of commutative monoids) and for lattice-ordered groups (with tensor product of partially ordered abelian groups).
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Dates et versions

hal-00004374 , version 1 (06-03-2005)

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  • HAL Id : hal-00004374 , version 1

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Friedrich Wehrung. Tensor products of structures with interpolation. Pacific Journal of Mathematics, 1996, 176, no. 1, pp.267-285. ⟨hal-00004374⟩
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