TRIANGULATED QUOTIENT CATEGORIES

被引：17

作者：

Liu, Yu ^{[1
]}

Zhu, Bin ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 10期

关键词：

Mutation; Quotient triangulated category; Right triangulated category; 16G20; 16G70; 19S99; 17B20; CLUSTER; ALGEBRAS;

D O I：

10.1080/00927872.2012.676116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A notion of mutation of subcategories in a right triangulated category is defined in this article. When (?, ?) is a ?-mutation pair in a right triangulated category ?, the quotient category ?/? carries naturally a right triangulated structure. Moreover, if the right triangulated category satisfies some reasonable conditions, then the right triangulated quotient category ?/? becomes a triangulated category. When ? is triangulated, our result unifies the constructions of the quotient triangulated categories by Iyama-Yoshino and by JOrgensen, respectively.

引用

页码：3720 / 3738

页数：19

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