连通分次与基本群
Connected gradings and fundamental group
摘要：
本文的主要目的是给出几个代数的基本群的显式计算。为此，给定一个$k$ -代数$A$，我们考虑了$A$的所有连通群$G$的分次范畴，并研究了分次与Galois覆盖的关系.该理论工具提供了有关$A$的基本群的信息，允许使用完整的分级列表进行计算。
英文摘要：
The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a $k$-algebra $A$, we consider the category of all connected gradings of $A$ by a group $G$ and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of $A$, which allows its computation using complete lists of gradings.
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。
