论文标题
$ f $ - 二维等级戒指的合理性和合理性
$F$-rationality of two-dimensional graded rings with a rational singularity
论文作者
论文摘要
众所周知，二维$ f $ - 理性的戒指具有合理的刻度。但是，一般而言，具有合理象征性的二维戒指并不是$ f $理性的。在本文中，我们调查了二维级环的$ f $ - 理性性，其多样性具有合理的刻度。此外，我们确定何时具有合理的近视度和少量多样性的二维级环为$ f $ - 理性。
It is known that a two-dimensional $F$-rational ring has a rational singularity. However a two-dimensional ring with a rational singularity is not $F$-rational in general. In this paper, we investigate $F$-rationality of a two-dimensional graded ring with a rational singularity in terms of the multiplicity. Moreover, we determine when a two-dimensional graded ring with a rational singularity and a small multiplicity is $F$-rational.
