内刚性布尔代数的存在性
Existence of Endo-Rigid Boolean Algebras
摘要：
一个布尔代数有多少个自同态？我们能找到自同态尽可能少的布尔代数吗？当然，从布尔代数的任何超滤子中，我们都可以定义一个自同态，并且我们可以以某种合理的方式组合许多这样的自同态。证明了在任意基数lambda=lambda^ {aleph_0}中存在一个没有其他自同态的布尔代数.为此，我们使用所谓的“黑匣子”，但在一个自我包含的方式。我们评论如何必要的限制红衣主教。
英文摘要：
How many endomorphisms does a Boolean algebra have? Can we find Boolean algebras with as few endomorphisms as possible? Of course from any ultrafilter of the Boolean algebra we can define an endomorphism, and we can combine finitely many such endomorphisms in some reasonable ways. We prove that in any cardinality lambda=lambda^ {aleph_0} there is a Boolean algebra with no other endomorphisms. For this we use the so called "black boxes", but in a self contained way. We comment on how necessary the restriction on the cardinal is.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
