Introduces weak idempotent nil-clean rings and characterizes them using Jacobson and nil radicals.
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 .
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Asmare et al. (2025) studied this question.
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