PRE-PROJECTIVE PARTS OF TILTING QUIVERS OVER CERTAIN PATH ALGEBRAS

被引：0

作者：

Kase, Ryoichi ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Toyonaka, Osaka 5600043, Japan

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 10期

关键词：

Representations of quivers; Tilting modules; MODULES;

D O I：

10.1080/00927872.2013.811247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Happel and Unger defined a partial order on the set of basic tilting modules. We study the poset of basic preprojective tilting modules over path algebras of representation-infinite type. First we will give a criterion for Ext-vanishing for preprojective modules. With the using of this result, we will give combinatorial characterizations of the poset of basic preprojective tilting modules. Finally, we will see the structure of a preprojective part of tilting quivers.

引用

页码：4376 / 4391

页数：16

共 13 条

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