When is every matrix over a division ring a sum of an idempotent and a nilpotent?

Linear Algebra and Its Applications - Tập 450 - Trang 7-12 - 2014
M. Tamer Koşan1, Tsiu-Kwen Lee2, Yiqiang Zhou3
1Department of Mathematics, Gebze Institute of Technology, Gebze/Kocaeli, Turkey
2Department of Mathematics, National Taiwan University, Taipei, 106, Taiwan
3Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7, Canada

Tài liệu tham khảo

Breaz, 2013, Nil-clean matrix rings, Linear Algebra Appl., 439, 3115, 10.1016/j.laa.2013.08.027 Diesl, 2006 Diesl, 2013, Nil clean rings, J. Algebra, 383, 197, 10.1016/j.jalgebra.2013.02.020 Song, 1999, Diagonability of idempotent matrices over noncommutative rings, Linear Algebra Appl., 297, 1, 10.1016/S0024-3795(99)00059-2