Depth and Width for Unbounded DG-Modules

作     者：Yanping Rao Zhongkui Liu Xiaoyan Yang Wenjing Chen Yanping Rao;Zhongkui Liu;Xiaoyan Yang;Wenjing Chen

作者机构：Department of MathematicsNorthwest Normal University Lanzhou 730070China 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2023年第30卷第1期

页      面：61-72页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(11761060,11901463,12061061) Science and Technology project of Gansu province(20JR5RA517) Innovation Ability Enhancement Project of Gansu Higher Education Institutions(2019A-002) Improvement of Young Teachers’Scientific Research Ability(NWNU-LKQN-18-30). 

主　　题：DG-module depth width 

摘      要：This paper introduces the notion of depth with respect to ideals for unbounded DG-modules,and gives a reduction formula and the local nature of this depth.As applications,we provide several bounds of the depth in special cases,and recover and generalize the known results about the depth of complexes.In addition,the width with respect to ideals for unbounded DG-modules is investigated and the depth and width formulas for DG-modules are generalized.