On Rings where Certain Subsets are Multiplicatively Generated by Idempotents

Hazar Abu-Khuzam

doi:10.9734/BJMCS/2016/24352

Research Article Open access CC BY 4.0

On Rings where Certain Subsets are Multiplicatively Generated by Idempotents

Hazar Abu-Khuzam

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 8 Mar 2016

10.9734/BJMCS/2016/24352

Abstract

In a Boolean ring, every element is trivially multiplicatively generated by idempotent elements. In this paper, we study the structure of rings in which certain subsets are multiplicatively generated by idempotents or multiplicatively generated by idempotents and nilpotents.

Jacobson radical commutator ideal artinian ring semisimple ring

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Hazar Abu-Khuzam (2016). On Rings where Certain Subsets are Multiplicatively Generated by Idempotents. Journal of Advances in Mathematics and Computer Science , 1–8. https://doi.org/10.9734/BJMCS/2016/24352

Affiliations

Hazar Abu-Khuzam — Department of Mathematics, American University of Beirut, Beirut, Lebanon.

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