2026-05-27T06:21:13Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/279922026-02-03T10:57:14Zcom_10630_2254col_10630_37953

Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence. Danchev, Peter García González, Esther Gómez-Lozano, Miguel Ángel Grupos nilpotentes Algebra lineal Matrices (Matemáticas) 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. 2023-11-10T11:34:40Z 2023-11-10T11:34:40Z 2023 2023-08-24 journal article 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 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional International Linear Algebra Society