扩张代数A(C,B)的倾斜模和挠理论  

Tilting Modules and Torsion Theory of Extension Algebra A(C,B)

作　　者：周金森[1] 

机构地区：[1]龙岩学院数学与计算机科学学院,福建龙岩364012

出　　处：《漳州师范学院学报（自然科学版）》2007年第4期1-6,共6页Journal of ZhangZhou Teachers College（Natural Science)

基　　金：福建省教育厅B类课题(JB07165)

摘　　要：惠昌常给出扩张代数A(C,B)的定义及基本性质,本文利用同调代数和倾斜理论的有关知识,首先通过研究倾斜C-模与倾斜A-模的关系,给出了MCA是一个倾斜A-模的充分必要条件.其次证明了两个倾斜A-模M1CA和M2CA导出mod A中相同的挠理论当且仅当M1和M2导出modC中相同的挠理论.Xi C C. has given the definition and some properties of the extension algebra A（C, B）. In this paper, we first discuss the necessary and sufficient condition for M ×C A to be a tilting A-module from the aspect of the relations between tilting C-modales and tilting A-modules by means of homological algebra and tilting theories. And then, we prove that tiltingA-modules M1×C A and： M 2×C A induce the same torsion theory in modA if and only if M 1 and M 2 induce the same torsion theory in mod C.

关 键 词：扩张代数 倾斜模 挠理论 

分 类 号：O153.3[理学—数学]