走向Chevalley式的非交换algebraic geometry
Towards a Chevalley-style non-commutative algebraic geometry
摘要：
我们的目标是通过使用广义赋值来构造一个非交换代数几何。为此，我们引入广群赋值环，并将合适的值函数与它们相关联。我们表明，这些对象的行为，而像他们的交换对应。给出了许多例子，并与Dubrovin赋值环建立了初步的联系.
英文摘要：
We aim to construct a non-commutative algebraic geometry by using generalised valuations. To this end, we introduce groupoid valuation rings and associate suitable value functions to them. We show that these objects behave rather like their commutative counterparts. Many examples are given and a tentative connections with Dubrovin valuation rings is established.
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。
