有界导出范畴的描述

吉林大学学报(理学版)

有界导出范畴的描述

曹苗, 杨晓燕

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2017-01-06 出版日期:2018-01-26 发布日期:2018-01-24
通讯作者: 杨晓燕 E-mail:yxy800218@163.com

Description of Bounded Derived Categories

CAO Miao, YANG Xiaoyan

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2017-01-06 Online:2018-01-26 Published:2018-01-24
Contact: YANG Xiaoyan E-mail:yxy800218@163.com

摘要/Abstract

摘要： 利用预覆盖类描述Abel范畴A的有界导出范畴D^b( A ), 并给出相应的应用. 结果表明, 模范畴的有界导出范畴可用Gorenstein平坦模和余挠对描述.

关键词: Gorenstein平坦模, 预覆盖类, 余挠对, 有界导出范畴

Abstract: We described bounded derived category D^b(A ) of Abel category Avia precovering class and gave the corresponding applications. The results show that the bounded derived category of the module category can be described by the Gorenstein flat modules and the cotorsion pairs.

Key words: cotorsion pair, Gorenstein flat module, bounded derived category, precovering class

中图分类号:

O153.3

曹苗, 杨晓燕. 有界导出范畴的描述[J]. 吉林大学学报(理学版), 2018, 56(1): 60-64.

CAO Miao, YANG Xiaoyan. Description of Bounded Derived Categories[J]. Journal of Jilin University Science Edition, 2018, 56(1): 60-64.