绝对刚性系统与绝对不可分解群
Absolutely rigid systems and absolutely indecomposable groups
摘要：
给出了一个新的证明，证明了存在任意大的不可分解阿贝尔群，而且所构造的群是绝对不可分解的，即它们在任何泛型扩张中都保持不可分解.然而，任何绝对刚性群族的基数都小于划分基数kappa（omega）。
英文摘要：
We give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal kappa(omega).
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。
