On the homological dimensions of Leavitt path algebras with coefficients in commutative rings

被引：6
|
作者：
Lopatkin, V. [1 ]
Nam, T. G. [2 ]
机构：
[1] South China Normal Univ, Guangzhou, Guangdong, Peoples R China
[2] VAST, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam
来源：
JOURNAL OF ALGEBRA | 2017年 / 481卷
关键词：
Grobner-Shirshov basis; Leavitt path algebra; Global dimension; Weak global dimension; GRAPH;
D O I：
10.1016/j.jalgebra.2017.02.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give sharp bounds for the homological dimensions of the Leavitt path algebra L-K(E) of a finite graph E with coefficients in a commutative ring K, as well as establish a formula for calculating the homological dimensions of LK (E) when K is a commutative unital algebra over a field. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：273 / 292
页数：20
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