Variations of primeness and factorization of ideals in Leavitt path algebras

In this paper we describe three different variations of prime ideals: strongly irreducible ideals, ideals and insulated in the context Leavitt path algebras. We give necessary sufficient conditions under which a proper ideal algebra L is product as well an intersection finitely many these types ideals. Such factorizations, when they are irredundant, shown to be unique except for order factors. also characterize algebras every admits such factorizations one special type