有限单位环上射影直线的距离图
The distant graph of the projective line over a finite ring with unity
摘要：
本文讨论有限有单位元的结合环上的射影线$\mathbb{P}(R)$。$\mathbb{P}(R)$自然地被赋予了对称的和反自反的“距离”关系。我们研究了$\mathbb{P}(R)$上的这种关系的图，并将环$R$的直到$p^5$，$p$素数的所有远图$G(R, Δ)$分类到同构.
英文摘要：
We discuss the projective line $\mathbb{P}(R)$ over a finite associative ring with unity. $\mathbb{P}(R)$ is naturally endowed with the symmetric and anti-reflexive relation "distant". We study the graph of this relation on $\mathbb{P}(R)$ and classify up to isomorphism all distant graphs $G(R, Δ)$ for rings $R$ up to order $p^5$, $p$ prime.
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。
