期刊论文

Stable categories and triangulated equivalences

中文

中国科学：数学

1674-7216

2023

53

04

565-576

10.1360/SSM-2022-0099

12171206;12126424:国家自然科学基金 BK20211358:江苏省自然科学基金 :江苏333人才基金 :江苏理工学院中吴青年创新人才支持计划资助项目

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外三角范畴是三角范畴和正合范畴的推广,很多重要的结论都能统一在这个框架下.本文通过外三角范畴中的理想商实现了模型结构诱导的局部化商,即建立了这两种商范畴之间的三角等价.与此同时,也将此结果应用到Frobenius正合范畴、环R的同伦范畴和Gorenstein对象的稳定范畴.

Extriangulated categories are a generalization of triangular categories and exact categories,and many important conclusions can be unified under this framework.In this paper,the localized quotient induced by the model structure is realized by the ideal quotient in the e...MORE Extriangulated categories are a generalization of triangular categories and exact categories,and many important conclusions can be unified under this framework.In this paper,the localized quotient induced by the model structure is realized by the ideal quotient in the extriangulated category,i.e.,the triangulated equival...