摘要
设Λ是一个有限维代数.本文证明了任意支撑倾斜Λ-模是支撑τ-倾斜Λ-模.反之,任意投射维数小于等于1的支撑τ-倾斜Λ-模是支撑倾斜Λ-模.特别地,如果Λ是遗传的,则任意支撑倾斜Λ-模恰好是支撑τ-倾斜Λ-模.
Let A be a finite dimensional algebra.In this note,we prove that any support tilting A-module is support τ-tilting.Conversely,any support τ-tilting A-module with projective dimension at most one is support tilting.In particular,if A is hereditary,then any support tilting A-module is precisely a support τ-tilting A-module.
作者
刘裕
周潘岳
LIU Yu;ZHOU Panyue(School of Mathematics,Southwest Jiaotong University,Chengdu,Sichuan,610031,P.R.China;College of Mathematics,Hunan Institute of Science and Technology,Yueyang,Hunan,414006,P.R.China)
出处
《数学进展》
CSCD
北大核心
2021年第3期471-474,共4页
Advances in Mathematics（China）
基金
Supported by NSFC(Nos.11901479,11901190,11671221)
Hunan Provincial Natural Science Foundation of China(No.2018JJ3205)
Scientific Research Fund of Hunan Provincial Education Department(No.19B239)。
关键词
倾斜模
支撑倾斜模
支撑τ-倾斜模
tilting modules
support tilting modules
supportτ-tilting modules
