Graded ideals of Koenig type
Graded ideals of Koenig type
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Koenig 型分级理想
DOI：
10.1090/tran/8531
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Sara Saeedi Madani
中科院分区：
文献类型：
--
作者：
Nursel Erey;Juergen Herzog;Takayuki Hibi;Sara Saeedi Madani
受König图概念的启发，我们引入了关于单项式序的König型分次理想。结果表明，如果是König型的，则Cohen-Macaulay性质不依赖于基场的特性。当它是二项式的边缘理想时，这恰好也是这种情况。与König类型的理想相联系的是一系列的线性形式，其元素是变量或变量的差。该序列是的参数系统，也是其自身的潜在参数系统。我们详细地研究了Hibi环的边理想、二项式边理想和环面理想中的König型理想，并利用König性质明确地确定了它们的标准模。参考文献
Inspired by the notion of König graphs we introduce graded ideals of König type with respect to a monomial order. It is shown that ifis of König type, then the Cohen–Macaulay property ofdoes not depend on the characteristic of the base field. This happens to be the case also foritself whenis a binomial edge ideal. Attached to an ideal of König type is a sequence of linear forms, whose elements are variables or differences of variables. This sequence is a system of parameters for, and is a potential system of parameters foritself. We study in detail the ideals of König type among the edge ideals, binomial edge ideals and the toric ideal of a Hibi ring and use the König property to determine explicitly their canonical module. References