平坦拓扑及其对偶
Flat topology and its dual aspects
摘要：
本文在素谱上建立了一个新的自然拓扑，它完全是Zebraki拓扑的对偶.它被称为平坦拓扑。证明了平坦拓扑的基本性质和一些复杂性质。特别地，给出了平坦拓扑的Noether性的各种代数刻画。使用平坦拓扑，然后一些事实的结构的素理想的一个环来光这是没有在访问的Zagliki拓扑。
英文摘要：
In this article, a new and natural topology on the prime spectrum is established which behaves completely as the dual of the Zariski topology. It is called the flat topology. The basic and also some sophisticated properties of the flat topology are proved. Specially, various algebraic characterizations for the noetherianness of the flat topology are given. Using the flat topology, then some facts on the structure of the prime ideals of a ring come to light which are not in the access of the Zariski topology.
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。
