带滤子带的Krasner完备化
Krasner Completions of Filtered Bands
- Kyushu Institute of Technology（九州工业大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究带滤子带的Krasner完备化，给出其商带重构判据，恢复赋值域相关定理，得到赋值环类似定理并比较其与adic完备化的关系。
AI中文摘要：
我们引入配备有单位群子群的递减滤子的带的Krasner完备化，并给出从其商带重构的判据。我们恢复赋值域的Krasner-Linzi逆极限定理，还得到Krasner-Linzi定理的赋值环类似物，并比较单位带的Krasner完备化与adic完备化。
英文摘要：
We introduce the Krasner completion of a band equipped with a decreasing filtration by subgroups of its unit group and give a criterion for reconstruction from its quotient bands. We recover the Krasner--Linzi inverse-limit theorem for valued fields. We also obtain a valuation ring analogue of the Krasner--Linzi theorem and compare Krasner completions of unit bands with adic completion.
