中山大学学报（自然科学版）（中英文）2025，Vol.64Issue(4)：109-114,6.DOI:10.13471/j.cnki.acta.snus.ZR20240278
复形的局部上同调模的torsion函子
Torsion functors of local cohomology modules for complexes
摘要
Abstract
We show that the torsion module TorRj(R/a,Hia(X))is in a Serre subcategory for the bounded below R-complex X.In addition,we prove the isomorphism TorRs-t(R/a,X)≅ TorRs(R/a,Hta(X))in some case.As an application,the Betti number of a complex X in a prime ideal p can be computed by the Betti number of the local cohomology modules of X in p.关键词
局部上同调/torsion函子/Serre子范畴/Betti数Key words
local cohomology/torsion functor/Serre subcategory/Betti number分类
数理科学引用本文复制引用
张平儿,马亚军..复形的局部上同调模的torsion函子[J].中山大学学报（自然科学版）（中英文）,2025,64(4):109-114,6.基金项目
Supported by Natural Science Foundation of Gansu Province(23JRRA866) （23JRRA866）
Higher Education Innovation Fund of Gansu Provincial Department of Education(2025A-132) （2025A-132）
University-level Scientific Research and Innovation Project of Gansu University of Political Science and Law(GZF2024XQN16) （GZF2024XQN16）
Youth Foundation of Lanzhou Jiaotong University(2023023) （2023023）
