A note on nil-clean rings

Peter V. Danchev

doi:10.2478/ausm-2020-0020

Abstract

We study a special kind of nil-clean rings, namely those nil-clean rings whose nilpotent elements are difference of two “left-right symmetric” idempotents, and prove that in some various cases they are strongly π-regular. We also show that all nil-clean rings having cyclic unit 2-groups are themselves strongly nil-clean of characteristic 2 (and thus they are again strongly π-regular).

References

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A note on nil-clean rings

Abstract

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