The jacobson radical types of leavitt path algebras with coefficients in a commutative unital semiring

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