Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a nilpotent matrix N.
Keywords:
Idempotent matrix / Nilpotent matrix / Nil-clean ring / Matrix ring
TY - JOUR
AU - Kostić, Aleksandra
AU - Petrović, Zoran
AU - Pucanović, Zoran
AU - Roslavcev, Maja
PY - 2021
UR - https://grafar.grf.bg.ac.rs/handle/123456789/2416
AB - Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a nilpotent matrix N.
PB - World Scientific Publishing Company
T2 - Algebra Colloquium
T1 - On the Generalized Strongly Nil - Clean Property of the Matrix Rings
EP - 634
IS - 4
SP - 625
VL - 28
DO - 10.1142/S1005386721000481
ER -
@article{
author = "Kostić, Aleksandra and Petrović, Zoran and Pucanović, Zoran and Roslavcev, Maja",
year = "2021",
abstract = "Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a nilpotent matrix N.",
publisher = "World Scientific Publishing Company",
journal = "Algebra Colloquium",
title = "On the Generalized Strongly Nil - Clean Property of the Matrix Rings",
pages = "634-625",
number = "4",
volume = "28",
doi = "10.1142/S1005386721000481"
}
Kostić, A., Petrović, Z., Pucanović, Z.,& Roslavcev, M.. (2021). On the Generalized Strongly Nil - Clean Property of the Matrix Rings. in Algebra Colloquium
World Scientific Publishing Company., 28(4), 625-634.
https://doi.org/10.1142/S1005386721000481
Kostić A, Petrović Z, Pucanović Z, Roslavcev M. On the Generalized Strongly Nil - Clean Property of the Matrix Rings. in Algebra Colloquium. 2021;28(4):625-634.
doi:10.1142/S1005386721000481 .
Kostić, Aleksandra, Petrović, Zoran, Pucanović, Zoran, Roslavcev, Maja, "On the Generalized Strongly Nil - Clean Property of the Matrix Rings" in Algebra Colloquium, 28, no. 4 (2021):625-634,
https://doi.org/10.1142/S1005386721000481 . .
