论文标题
Fremlin的Archimedean Riesz太空张量产品的两个结果
Two Results on Fremlin's Archimedean Riesz Space Tensor Product
论文作者
论文摘要
在本文中，我们表征了何时，对于任何无限的基数α，两个Archimedean Riesz空间的弗里姆林张量产物是Dedekindα-完整的。我们还提供了Archimedean riesz空间中理想I的示例，使I本身的Fremlin Tensor产品在E本身的Fremlin Tensor产品中并不是理想的。
In this paper, we characterize when, for any infinite cardinal α, the Fremlin tensor product of two Archimedean Riesz spaces is Dedekind α-complete. We also provide an example of an ideal I in an Archimedean Riesz space E such that the Fremlin tensor product of I with itself is not an ideal in the Fremlin tensor product of E with itself.
