The conditions that allow an element of an associative, unital, not necessarily commutative ring R, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.
TY - JOUR
AU - Kostić, Aleksandra
AU - Petrović, Zoran Z.
AU - Pucanović, Zoran
AU - Roslavcev, Maja
PY - 2018
UR - https://grafar.grf.bg.ac.rs/handle/123456789/971
AB - The conditions that allow an element of an associative, unital, not necessarily commutative ring R, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.
T2 - Miskolc Mathematical Notes
T1 - A generalization of nil-clean rings
EP - 981
IS - 2
SP - 969
VL - 19
DO - 10.18514/MMN.2018.2585
ER -
@article{
author = "Kostić, Aleksandra and Petrović, Zoran Z. and Pucanović, Zoran and Roslavcev, Maja",
year = "2018",
abstract = "The conditions that allow an element of an associative, unital, not necessarily commutative ring R, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.",
journal = "Miskolc Mathematical Notes",
title = "A generalization of nil-clean rings",
pages = "981-969",
number = "2",
volume = "19",
doi = "10.18514/MMN.2018.2585"
}
Kostić, A., Petrović, Z. Z., Pucanović, Z.,& Roslavcev, M.. (2018). A generalization of nil-clean rings. in Miskolc Mathematical Notes, 19(2), 969-981.
https://doi.org/10.18514/MMN.2018.2585
Kostić A, Petrović ZZ, Pucanović Z, Roslavcev M. A generalization of nil-clean rings. in Miskolc Mathematical Notes. 2018;19(2):969-981.
doi:10.18514/MMN.2018.2585 .
Kostić, Aleksandra, Petrović, Zoran Z., Pucanović, Zoran, Roslavcev, Maja, "A generalization of nil-clean rings" in Miskolc Mathematical Notes, 19, no. 2 (2018):969-981,
https://doi.org/10.18514/MMN.2018.2585 . .
