Quasi-hereditary algebras and generalized Koszul

被引：4
|
作者：
Madsen, Dag Oskar [1 ]
机构：
[1] Univ Nordland, Fac Profess Studies, NO-8049 Bodo, Norway
来源：
JOURNAL OF ALGEBRA | 2013年 / 395卷
关键词：
Quasi-hereditary algebras; Generalized Koszul duality; Yoneda extension algebras; CATEGORY; MODULES; DUALITY;
D O I：
10.1016/j.jalgebra.2013.08.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to A. If a quasi-hereditary algebra A is Koszul with respect to A, then A and the Yoneda extension algebra of A are Koszul dual in a sense explained below, implying in particular that their bounded derived categories of finitely generated graded modules are equivalent. We also prove that the extension algebra of A is Koszul in the classical sense. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：96 / 110
页数：15
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