RT Journal Article
T1 Decompositions of periodic matrices into a sum of special matrices
A1 Danchev, Peter
A1 García, Esther
A1 Gómez-Lozano, Miguel Ángel
K1 Matrices (Matemáticas)
K1 Grupos nilpotentes
AB We study the problem of when a periodic square matrix of order n×n over an arbitrary field F is decomposable into the sum of a square-zero matrix and a torsion matrix and show that this decomposition can always be obtained for matrices of rank at least n/2 when F is either a field of prime characteristic, or the field of rational numbers, or an algebraically closed field of zero characteristic. We also provide a counterexample to such a decomposition when F equals the field of the real numbers.
PB International Linear Algebra Society (ILAS)
YR 2025
FD 2025
LK https://hdl.handle.net/10630/41065
UL https://hdl.handle.net/10630/41065
LA eng
NO https://journals.uwyo.edu/index.php/ela/article/view/9099
NO https://journals.uwyo.edu/index.php/ela/about/submissions
NO FQM264
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026