HE JACOBSON RADICAL TYPES OF LEAVITT PATH ALGEBRAS WITH COEFFICIENTS IN A COMMUTATIVE UNITAL SEMIRING

  • Le Hoang Mai*
Keywords: Acyclic graph, J - radical of semiring; Js - radical of semiring, Leavitt path algebra, no-exit graph.

Abstract

In this paper, we calculate the J - radical and Js - radical of the Leavitt path algebras with coefficients in a commutative semiring of some finite graphs. In particular, we calculate J - radical and Js - radical of the Leavitt path algebras with coefficients in a field of acyclic graphs, no-exit graphs and give applicable examples.

Author Information

Le Hoang Mai1*

1Department of Mathematics Teacher Education, Dong Thap University

*Corresponding author: lhmai@dthu.edu.vn

Article history

Received: 08/06/2020; Received in revised form: 26/06/2020; Accepted: 03/07/2020

điểm /   đánh giá
Published
2020-10-19
Issue
Vol. 9 No. 5 (2020): English
Section
NGHIÊN CỨU