O artykule
Data publikacji: 02 gru 2020
Zakres stron: 287 - 293
Otrzymano: 17 gru 2019
DOI: https://doi.org/10.2478/ausm-2020-0020
Słowa kluczowe
© 2020 Peter V. Danchev, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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).