Ding模范畴上的模型结构  

Model Structures over Ding Module Categories

作　　者：唐强玲 张春霞 TANG Qiangling;ZHANG Chunxia(School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《四川师范大学学报(自然科学版)》2025年第3期422-426,共5页Journal of Sichuan Normal University(Natural Science)

基　　金：重庆市自然科学基金(CSTC2021JCYJ-MSXMX0048)。

摘　　要：设R为有单位元的结合环,首先证明Ding投射维数有限的R-模范畴DP^(<∞)(R)和Ding内射维数有限的R-模范畴DJ^(<∞)(R)为幂等完备正合范畴,其次分别构造DP^(<∞)(R)和DJ^(<∞)(R)中的正合模型结构,并证明这2个模型范畴的同伦范畴,分别三角等价于Ding投射模的稳定范畴DP(R)和Ding内射模的稳定范畴DJ(R).Let R be an associative ring with identity.We first prove that the category of R modules of finite Ding projective dimension DP^(<∞)(R)and the category of R modules of finite Ding injective dimension DI^(<∞)(R)are idempotent,complete and exact categories.Secondly,the exact model structures in these two categories are constructed,where the associated homotopy categories are triangulated equivalent to the stable category of Ding projective modules DP(R)and Ding injective modules DI(R),respectively.

关 键 词：Ding投射模 Ding内射模 模型结构 稳定范畴 

分 类 号：O154[理学—数学]