Nakayama自内射代数的扭Calabi-Yau模  

Twisted Calabi-Yau Modules of Nakayama Selfinjective Algebras

作　　者：胡峰琴 俞晓岚 HU Fengqin;YU Xiaolan(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2022年第2期179-183,203,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11871186).

摘　　要：给出了扭Calabi-Yau对象的定义,并给出不可分解扭Calabi-Yau对象和Auslander-Reitun三角之间的关系.最后得到Nakayama自内射代数的不可分解模都是扭Calabi-Yau模,并计算了其维数.In this paper,the definition of twisted Calabi-Yau object was introduced,and the relation between indecomposable twisted Calabi-Yau objects and Auslander-Reitun triangles was discussed.Finally,it was proved that indecomposable modules of Nakayama selfinjective algebras were all twisted Calabi-Yau modules,and their Calabi-Yau dimensions were calculated.

关 键 词：扭Calabi-Yau对象 Auslander-Reitun三角 稳定范畴 Nayakama自内射代数 

分 类 号：O15[理学—数学]