Rings generalized by tripotents and nilpotents
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1175-1182
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We present new characterizations of the rings for which every element is a sum of two tripotents and a nilpotent that commute. These extend the results of Z. L. Ying, M. T. Koşan, Y. Zhou (2016) and Y. Zhou (2018).
DOI :
10.21136/CMJ.2022.0427-21
Classification :
13B99, 16E50, 16U99
Keywords: nilpotent; tripotent; 2-idempotent; exchange ring
Keywords: nilpotent; tripotent; 2-idempotent; exchange ring
@article{10_21136_CMJ_2022_0427_21,
author = {Chen, Huanyin and Sheibani, Marjan and Ashrafi, Nahid},
title = {Rings generalized by tripotents and nilpotents},
journal = {Czechoslovak Mathematical Journal},
pages = {1175--1182},
publisher = {mathdoc},
volume = {72},
number = {4},
year = {2022},
doi = {10.21136/CMJ.2022.0427-21},
mrnumber = {4517605},
zbl = {07655792},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0427-21/}
}
TY - JOUR AU - Chen, Huanyin AU - Sheibani, Marjan AU - Ashrafi, Nahid TI - Rings generalized by tripotents and nilpotents JO - Czechoslovak Mathematical Journal PY - 2022 SP - 1175 EP - 1182 VL - 72 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0427-21/ DO - 10.21136/CMJ.2022.0427-21 LA - en ID - 10_21136_CMJ_2022_0427_21 ER -
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Chen, Huanyin; Sheibani, Marjan; Ashrafi, Nahid. Rings generalized by tripotents and nilpotents. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1175-1182. doi: 10.21136/CMJ.2022.0427-21
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