Unit elements in the path algebra of an acyclic quiver

被引：1
|
作者：
Karthika, S. [1 ]
Viji, M. [1 ]
机构：
[1] St Thomas Coll, Dept Math, Trichur 680001, Kerala, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2021年 / 52卷 / 01期
关键词：
Acyclic quiver; Path algebra; Unit element;
D O I：
10.1007/s13226-021-00069-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the algebraic properties of a particular non- commutative algebra, the path algebra, associated with a quiver. Quiver was initially introduced by Peter Gabriel. In this paper, we obtain a characterization for the invertibility of an element in the path algebra of an acyclic quiver. The study is an extension of the invertibility condition in a unique path quiver to acyclic quivers.
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页码：138 / 140
页数：3
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