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On the Generalized Strongly Nil - Clean Property of the Matrix Rings

Authorized Users Only
2021
Authors
Kostić, Aleksandra
Petrović, Zoran
Pucanović, Zoran
Roslavcev, Maja
Article (Accepted Version)
Metadata
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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.
Keywords:
Idempotent matrix / Nilpotent matrix / Nil-clean ring / Matrix ring
Source:
Algebra Colloquium, 2021, 28, 4, 625-634
Publisher:
  • World Scientific Publishing Company
Funding / projects:
  • Analysis and algebra with applications (RS-174032)

DOI: 10.1142/S1005386721000481

ISSN: 1005-3867

WoS: 000715185900007

[ Google Scholar ]
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2416
Collections
  • Катедра за математику, физику и нацртну геометрију
  • Radovi istraživača / Researcher's publications
Institution/Community
GraFar
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 . .

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