关于半对偶模的n-倾斜模及其刻画  

n-tilting module with Respect to a Semidualizing Module and Its Characterizations

作　　者：何东林[1] 樊亮[1] HE Dong-lin;FAN Liang(School of Mathematics and Information Sciences,Longnan Teachers College,Longnan 742500,China)

机构地区：[1]陇南师范高等专科学校数信学院,甘肃陇南742500

出　　处：《西北民族大学学报（自然科学版）》2023年第1期1-5,共5页Journal of Northwest Minzu University(Natural Science)

基　　金：甘肃省高等学校创新能力提升项目(2020A-277)。

摘　　要：设R为交换 Noether 环,给出关于半对偶R-模W的n-倾斜模的定义.利用同调代数的方法,讨论n-倾斜模(未必有限生成)与n-W-倾斜模之间的关系,研究n-W-倾斜模的若干性质和等价刻画.结果表明,T是n-W-倾斜模当且仅当 Hom R(W,T)是n-倾斜模;T是n-倾斜模当且仅当W R T是n-W-倾斜模.Let R be a commutative ring.The definition of n-tilting module with respect to a semidualizing module R-module W is given.Using methods of homological algebra,the relationships between n-tilting module(not necessarily finite generated)and n-W-tilting module are discussed.Some properties and equivalent characterizations of n-W-tilting are investigated.The results indicate that:T is an n-W-tilting module if and only if Hom R(W,T)is an n-tilting module;T is an n-tilting module if and only if W R T is an n-W-tilting module.

关 键 词：半对偶模 倾斜模 Auslander类 Bass类 

分 类 号：O154[理学—数学]