Monomial ideals whose powers have a linear resolution
Juergen Herzog, Takayuki Hibi, Xinxian Zheng
Abstract
In this paper we consider graded ideals in a polynomial ring over a field and ask when such an ideal has the property that all of its powers have a linear resolution. In particular it is shown that all powers of a monomial ideal with 2-linear resolution have again a linear resolution.
Create a lesson
Related papers
Finitistic dimensions of formal power series rings
Xiaolei Zhang, Weiheng Xia
On the existence of Gorenstein injective covers
Yuhui Hua, Shun-Jie Li, Chencheng Zhang
Improved Upper Bounds for the Rank of the Determinant Tensor via Glynn's Formula
Jeong-Hoon Ju, Hayoung Choi, Taehyeong Kim
Waring rank of certain complete intersection forms
Meghana Bhat, Enrico Carlini, Shreedevi K. Masuti et al.
Combinatorial bounds for the v-number of binomial edge ideals
Emiliano Liwski
Asymptotic Lech Bounds and Bertini Flags
Hong-Ge Chen, Fei Liu