Tensor products of structures with interpolation
Wehrung, Friedrich
HAL, hal-00004374 / Harvested from HAL
Text on HAL
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).
Publié le : 1996-07-05
Classification:  finite refinement property,  finite refinement property.,  Partially ordered abelian groups,  tensor products,  interpolation property,  06F20, 20K20, 20M14.,  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] 
@article{hal-00004374,
     author = {Wehrung, Friedrich},
     title = {Tensor products of structures with interpolation},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004374}
}

Wehrung, Friedrich. Tensor products of structures with interpolation. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004374/