典型文献
Finiteness Conditions and Relative Singularity Categories
文献摘要：
We introduce the n-pure projective(resp.,injective)dimension of complexes in n-pure de-rived categories,and give some criteria for computing these dimensions in terms of the n-pure projective(resp.,injective)resolutions(resp.,coresolutions)and n-pure derived functors.As a consequence,we get some equivalent characterizations for the finiteness of n-pure global dimension of rings.Finally,we study Verdier quotient of bounded n-pure derived category modulo the bounded homotopy category of n-pure projective modules,which is called an n-pure singularity category since it can reflect the finiteness of n-pure global dimension of rings.
文献关键词：
中图分类号：
作者姓名：
Chun Xia ZHANG
作者机构：
School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,P.R.China
文献出处：
引用格式：
[1]Chun Xia ZHANG-.Finiteness Conditions and Relative Singularity Categories)[J].数学学报（英文版）,2022(08):1436-1446
A类：
Finiteness,coresolutions,functors,Verdier
B类：
Conditions,Relative,Singularity,Categories,We,introduce,pure,projective,resp,injective,complexes,categories,give,some,criteria,computing,these,dimensions,terms,derived,consequence,we,get,equivalent,characterizations,finiteness,global,rings,Finally,study,quotient,bounded,category,modulo,homotopy,modules,which,is,called,singularity,since,can,reflect
AB值：
0.492132
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