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

Abstract

In this paper, we calculate the J - radical and J_s - radical of the Leavitt path algebras with coefficients in a commutative semiring of some finite graphs. In particular, we calculate J - radical and J_s - 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 Mai^1*

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