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00925njm 22002777a 4500 dc Danchev, Peter author García González, Esther author Gómez-Lozano, Miguel Ángel author 2023-08-24 For any n ≥ 2 and fixed k ≥ 1, we give necessary and sufficient conditions for an arbitrary nonzero square matrix in the matrix ring Mn(F) to be written as a sum of an invertible matrix U and a nilpotent matrix N with Nk = 0 over an arbitrary field F. Danchev, Peter & García, Esther & Lozano, Miguel. (2023). Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence. The Electronic Journal of Linear Algebra. 39. 460-471. 10.13001/ela.2023.7851. https://hdl.handle.net/10630/27992 10.13001/ela.2023.7851 Grupos nilpotentes Algebra lineal Matrices (Matemáticas) Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence.