The Equivalence of Two Notions of Discreteness of Triangulated Categories

被引：2

作者：

Yao, Lingling ^{[1
]}

Yang, Dong ^{[2
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2021年 / 24卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Derived discrete; Discreteness of triangulated category; ST-triple; T-structure; Co-t-structure; T-STRUCTURES; THEOREMS;

D O I：

10.1007/s10468-020-09991-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an ST-triple (C, D, M) one can associate a co-t-structure on C and a t-structure on D. It is shown that the discreteness of C with respect to the co-t-structure is equivalent to the discreteness of D with respect to the t-structure. As a special case, the discreteness of D-b(mod A) in the sense of Vossieck is equivalent to the discreteness of K-b(proj A) in a dual sense, where A is a finite-dimensional algebra.

引用

页码：1295 / 1312

页数：18

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