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.

中文翻译：

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维数效应代数的张量积

(A. Jencova, S. Pulmannova, Rep. Math. Phys. 62 (2008), 205-218)中引入了维效应代数，并证明它们是维群中的单位区间。我们证明了维效应代数的效应代数张量积是维效应代数，它是对应维群的单位阿贝尔po群张量积中的单位区间。