References
- [1] K. I. Beidar, K. C. O’Meara and R. M. Raphael, On uniform diagonalisation of matrices over regular rings and one-accesible regular algebras, Commun. Algebra, 32 (2004), 3543–3562.10.1081/AGB-120039630
- [2] S. Breaz, G. Călugăreanu, P. Danchev and T. Micu, Nil-clean matrix rings, Linear Algebra and Appl., (10) 439 (2013), 3115–3119.10.1016/j.laa.2013.08.027
- [3] P. V. Danchev, Weakly exchange rings whose units are sums of two idempotents, Vestnik St. Petersburg Univ., Math., Mech. & Astronomy, (2) 6 (64) (2019), 265–269.10.21638/11701/spbu01.2019.208
- [4] P. V. Danchev and T. Y. Lam, Rings with unipotent units, Publ. Math. Debrecen, (3-4) 88 (2016), 449–466.10.5486/PMD.2016.7405
- [5] P. Danchev and J. Matczuk, n-Torsion clean rings, Contemp. Math., 727 (2019), 71–82.10.1090/conm/727/14625
- [6] P. Danchev and J. Šter, Generalizing π-regular rings, Taiwanese J. Math., (6) 19 (2015), 1577–1592.10.11650/tjm.19.2015.6236
- [7] A. J. Diesl, Nil clean rings, J. Algebra, 383 (2013), 197–211.10.1016/j.jalgebra.2013.02.020
- [8] R. E. Hartwig and M. S. Putcha, When is a matrix a difference of two idempotents, Linear and Multilinear Algebra, (4) 26 (1990), 267–277.10.1080/03081089008817983
- [9] T.-Y. Lam, A First Course in Noncommutative Rings, Second Edition, Graduate Texts in Math., Vol. 131, Springer-Verlag, Berlin-Heidelberg-New York, 2001.10.1007/978-1-4419-8616-0
- [10] K. C. O’Meara, Nilpotents often the difference of two idempotents, private correspondence on draft privately circulated on March 2018.
- [11] J.Šter, On expressing matrices over 2 as the sum of an idempotent and a nilpotent, Linear Algebra Appl., 544 (2018), 339–349.10.1016/j.laa.2018.01.015