Tensor product of dimension effect algebras
Rings and Algebras
2021-11-08 v1
Abstract
Dimension effect algebras were introduced in (A. Jencova, S. Pulmannova, Rep. Math. Phys. 62 (2008), 205-218), and it was proved that they are unit intervals in dimension groups. We prove that the effect algebra tensor product of dimension effect algebras is a dimension effect algebra, which is the unit interval in the unital abelian po-groups tensor product of the corresponding dimension groups.
Keywords
Cite
@article{arxiv.1902.11031,
title = {Tensor product of dimension effect algebras},
author = {Anna Jencova and Sylvia Pulmannova},
journal= {arXiv preprint arXiv:1902.11031},
year = {2021}
}
Comments
19 pages