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 .
Venkateswarlu, K., Abebaw, T., Asmare, B. (2024). 'Weak Idempotent Nil-clean Rings', Journal of Algebraic Systems, (), pp. -. doi: 10.22044/jas.2023.13177.1725
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Venkateswarlu, K., Abebaw, T., Asmare, B. Weak Idempotent Nil-clean Rings. Journal of Algebraic Systems, 2024; (): -. doi: 10.22044/jas.2023.13177.1725
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