WEAK IDEMPOTENT NIL-CLEAN RING

Articles in Press

Document Type : Original Manuscript

Authors

1 Department of Mathematics, College of Natural and Computational Science, Addis Ababa University, P.O. Box 1176, Addis Ababa, Ethiopia.

2 Department of Computer Science and System Engineering, College of Engineering, Andhra University, Visakhapatnam, Andhra Pradesh, India.

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

References

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Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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