Weak Idempotent Nil-clean Rings

Document Type : Original Manuscript

Authors

1 Andha University

2 Department of Mathematics, Addis Ababa University

10.22044/jas.2023.13177.1725

Abstract

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 .

Keywords