On the Generalized Strongly Nil - Clean Property of the Matrix Rings
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 ringSource:
Algebra Colloquium, 2021, 28, 4, 625-634Publisher:
- World Scientific Publishing Company
Funding / projects:
- Analysis and algebra with applications (RS-174032)
Collections
Institution/Community
GraFarTY - 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 . .