论文标题
圆锥形圆环环和应用于hibi环和稳定套环的圆锥分区理想
Conic divisorial ideals of toric rings and applications to Hibi rings and stable set rings
论文作者
论文摘要
在本文中，我们研究圆锥形环的圆锥形分区理想。我们提供了一个确定它们的想法，并通过使用此想法对Hibi Rings的Conic Divisorial理想和稳定的固定环的描述进行描述。我们还表征何时hibi环或稳定的套环是准对称或弱对称的。此外，通过使用圆锥分区理想的描述，我们构建了一个特殊的稳定套环家族的非交流性毛皮分辨率（NCCR）。
In the present paper, we study conic divisorial ideals of toric rings. We provide an idea to determine them and we give a description of the conic divisorial ideals of Hibi rings and stable set rings of perfect graphs by using this idea. We also characterize when Hibi rings or stable set rings are quasi-symmetric or weakly-symmetric. Moreover, by using the description of the conic divisorial ideals, we construct a non-commutative crepant resolution (NCCR) of a special family of stable set rings.
