On compact exceptional objects in derived module categories

被引：1

作者：

Li, Liping ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Comp Sci, Performance Comp & Stochast Informat Proc, Minist Educ, Changsha 410081, Hunan, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2016年 / 463卷

基金：

中国国家自然科学基金;

关键词：

Tilting objects; Compact exceptional objects; Derived module categories; Derived simple; Recollements; PIECEWISE HEREDITARY ALGEBRAS; EQUIVALENCE CLASSIFICATION; PERPENDICULAR CATEGORIES; SELFINJECTIVE ALGEBRAS; TILTING MODULES; RECOLLEMENTS; STRATIFICATIONS; COMPLEXES;

D O I：

10.1016/j.jalgebra.2016.06.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a basic and connected finite dimensional algebra and D-b (A) be the bounded derived category of finitely generated left A-modules. In this paper we consider lengths of tilting objects and indecomposable compact exceptional objects in Db (A), and prove a sufficient condition such that these lengths are bounded by the number of isomorphism classes of simple A-modules. Moreover, we show that algebras satisfying this criterion are bounded derived simple, and describe an algorithm to construct a family of algebras satisfying this condition. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：234 / 253

页数：20

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