https://orcid.org/0000-0002-2016-2336
References
- Diesl AJ. Nil clean rings. J Algebra. 2013;383:197–211.
- Breaz S, Călugăreanu G, Danchev P, et al. Nil-clean matrix rings. Linear Algebra Appl. 2013;439:3115–3119.
- Šter J. On expressing matrices over Z2 as the sum of an idempotent and a nilpotent. Linear Algebra Appl. 2018;544:339–349.
- Shitov Y. The ring M8k+4(Z2) is nil-clean of index four. Indag Math (N.S.). 2019;30:1077–1078.
- de Seguins Pazzis C. Sums of two triangularizable quadratic matrices over an arbitrary field. Linear Algebra Appl. 2012;436:3293–3302.
- Abyzov AN, Mukhametgaliev II. On some matrix analogues of the little Fermat theorem. Mat Zametki. 2017;101(2):163–168.
- Breaz S. Matrices over finite fields as sums of periodic and nilpotent elements. Linear Algebra Appl. 2018;555:92–97.
- Householder AS. The theory of matrices in numerical analysis. New York: Blaisdell Publishing Co. Ginn and Co.; 1964.
- García E, Lozano MG, Alcázar RM, et al. A Jordan canonical form for nilpotent elements in an arbitrary ring. Linear Algebra Appl. 2019;581:324–335.
- Breaz S, Megiesan S. Nonderogatory matrices as sums of idempotent and nilpotent matrices. Linear Algebra Appl. 2020;605:239–248.
- Humphreys JE. Introduction to Lie algebras and representation theory, New York: Springer-Verlag; 1978. (Graduate Texts in Mathematics; 9). Second printing, revised.
- Jacobson N. Lie algebras. New York: Dover Publications, Inc.; 1979. Republication of the 1962 original.
- Hansen T, Mullen GL. Primitive polynomials over finite fields. Math Comp. 1992;59(200):639–643. S47–S50.
- Wan D. Generators and irreducible polynomials over finite fields. Math Comp. 1997;66(219):1195–1213.
- Ham KH, Mullen GL. Distribution of irreducible polynomials of small degrees over finite fields. Math Comp. 1998;67(221):337–341.
- Tang G, Zhou Y, Su H. Matrices over a commutative ring as sums of three idempotents or three involutions. Linear Multilinear Algebra. 2019;67:267–277.
- Jaume DA, Sota R. On the core-nilpotent decomposition of trees. Linear Algebra Appl. 2019;563:207–214.