On the maximal graded shifts of ideals and modules
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...