50年的有限几何,“有限环上的几何”部分
50 years of Finite Geometry, the "geometries over finite rings" part
摘要:
而在很大程度上,有限几何在过去的50年里一直集中在有限域上的几何,有限环上的几何,而不是除环得到较少的关注。然而,几个重要的有限环类产生了有趣的几何。在本文中,我们汇集了一些结果,分散在文献中,关于有限环和平面射影几何等环。它不包含新的材料,但通过在一个地方收集的东西,我们希望刺激进一步的研究,在这方面至少另一个50年的有限几何。
英文摘要:
Whereas for a substantial part, Finite Geometry during the past 50 years has focussed on geometries over finite fields, geometries over finite rings that are not division rings have got less attention. Nevertheless, several important classes of finite rings give rise to interesting geometries. In this paper we bring together some results, scattered over the literature, concerning finite rings and plane projective geometry over such rings. It doesn't contain new material, but by collecting stuff in one place, we hope to stimulate further research in this area for at least another 50 years of Finite Geometry.
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。