On the maximal graded shifts of ideals and modules

  • SCI-E
作者: McCullough, Jason*
通讯作者: McCullough, Jason
作者机构: Department of Mathematics, Iowa State University, Ames, IA 50011, United States of America
通讯机构: Iowa State Univ, Dept Math, Ames, IA 50011 USA.
语种: 英文
关键词: Free resolution;Regularity;Polynomial ring;Projective dimension
期刊: Journal of Algebra
ISSN: 0021-8693
年: 2021
卷: 571
页码: 121-133
基金类别: The author thanks Lance Miller, Irena Peeva, and Hema Srinivasan for useful feedback on an earlier draft of this paper. This work was supported by a grant from the Simons Foundation ( 576107 , JGM).
摘要: We generalize a result of Eisenbud, Huneke and Ulrich on the maximal graded shifts of a module with prescribed annihilator and prove a linear regularity bound for ideals in a polynomial ring depending only on the first p−c steps in the resolution, where p=pd(S/I) and c...

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