欧几里得环

中文总结 AI 辅助

该学位论文将Lenstra的例外序列思想推广到k-阶欧几里得环，附带论文原文及英文译文。

中文摘要 AI 辅助

本文是笔者1989年关于欧几里得环的 diploma thesis（ diploma thesis 译为学位论文）文本及英文译文，主要成果是将Lenstra的例外序列思想推广到k-阶欧几里得环。

英文摘要

This is the text of my diploma thesis on Euclidean Rings from 1989, along with an English translation. Its main result is the generalization of Lenstra's idead of exceptional sequences to k-stage Euclidean rings.