论文标题
免费有限的Archimedean $ \ ell $ -Algebras
Free bounded archimedean $\ell$-algebras
论文作者
论文摘要
我们表明，集合上的免费对象不存在于有限的Archimedean $ \ ell $ -Algebras的类别$ bal $中。另一方面，我们介绍了加权集的类别，并证明加权集中的免费对象确实存在于$ bal $中。我们通过讨论该结果的几个后果来结束。
We show that free objects on sets do not exist in the category $bal$ of bounded archimedean $\ell$-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in $bal$. We conclude by discussing several consequences of this result.
