论文标题
碎屑通过超能的永久性特性
Permanence properties of splinters via ultrapower
论文作者
论文摘要
我们表明,分裂属性沿常规残留场扩展升上升,并沿着同等特征的任意常规地图上升。我们还研究了非非核圈环的分裂特性,尤其是与超能力相关的环的分裂特性,这是我们的主要结果所需的范围。
We show that the splinter property ascends along regular residue field extensions, and along arbitrary regular maps in equal characteristic. We also study the splinter property of non-Noetherian rings, especially those related to ultrapowers, to the extent necessary for our main results.