KOSZULITY OF ALGEBRAS WITH NONPURE RESOLUTIONS

被引：10
|
作者：
Lu, Di-Ming [1 ]
Si, Jun-Ru [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 01期
关键词：
AS-regular algebra; N-Koszul algebra; Piecewise-Koszul algebra;
D O I：
10.1080/00927870902855531
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss certain homological properties of graded algebras whose trivial modules admit nonpure resolutions. Such algebras include both of Artin-Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with nonpure resolution is decomposed to form an extension by two modules with pure resolutions.
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页码：68 / 85
页数：18
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