We introduce the concept of a weak idempotent nil-clean ring as a generalization of a weakly nil-clean ring. We give certain characterizations for weak idempotent nil-clean rings in terms of Jacobson radical and nil radical. Further, we obtain any weak idempotent nil-clean ring is a direct product nil clean rings in terms of Jacobson radicals .
Asmare et al. (Tue,) studied this question.