Leavitt path algebras for power graphs of finite groups

被引：4

作者：

Das, Sumanta ^{[1
]}

Sen, M. K. ^{[1
]}

Maity, S. K. ^{[1
]}

机构：

[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 10期

关键词：

Leavitt path algebra; power graph; punctured power graph;

D O I：

10.1142/S0219498822502097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is the characterization of algebraic properties of Leavitt path algebra of the directed power graph P(G) and also of the directed punctured power graph P(G) of a finite group G. We show that Leavitt path algebra of the power graph P(G) of finite group G over a field K is simple if and only if G is a direct sum of finitely many cyclic groups of order 2. Finally, we prove that the Leavitt path algebra L-K(P(G)) is a prime ring if and only if G is either cyclic p-group or generalized quaternion 2-group.

引用

页数：13

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