Generalized Newton complementary duals of monomial ideals

被引：0
|
作者：
Ansaldi, Katie [1 ]
Lin, Kuei-Nuan [2 ]
Shen, Yi-Huang [3 ]
机构：
[1] Wabash Coll, Dept Math & Comp Sci, Crawfordsville, IN 47933 USA
[2] Penn State Greater Allegheny, Dept Math, Mckeesport, PA 15132 USA
[3] Univ Sci & Technol China, Sch Math Sci, CAS, Wu WenTsun Key Lab Math, Hefei 230026, Anhui, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 02期
关键词：
Free resolution; special fiber; monomial ideal; Ferrers graph; stable ideal; RESOLUTIONS;
D O I：
10.1142/S0219498821500213
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a monomial ideal in a polynomial ring over a field, we define the generalized Newton complementary dual of the given ideal. We show good properties of such duals including linear quotients and isomorphism between the special fiber rings. We construct the cellular free resolutions of duals of strongly stable ideals generated in the same degree. When the base ideal is generated in degree two, we provide an explicit description of cellular free resolution of the dual of a compatible generalized stable ideal.
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页数：26
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