http://hdl.handle.net/20.500.12128/465
Tytuł: | On invertible preservers of singularity and nonsingularity of matrices over a field |
Autor: | Kalinowski, Józef |
Słowa kluczowe: | Invertible Preservers of Singularity; Nonsingularity of Matrices |
Data wydania: | 2010 |
Źródło: | Annales Mathematicae Silesianae, Nr 24 (2010), s. 27-33 |
Abstrakt: | Invertible operators preserving singularity of matrices were studied in [3] and [4] under assumption that operators are linear. In the present paper the linearity of operators is not assumed: we assume only that operators are of the form F = (fi,j), where fi,j : F −> F and F is a field, i, j {1, 2, . . . , n}. If n ≥ 3, then in the matrix space Mn(F) operators preserving singularity of matrices must be as in [1]. If n ≤ 2, then operators may be nonlinear. In this case the forms of the operators are presented. |
URI: | http://hdl.handle.net/20.500.12128/465 |
ISSN: | 0860-2107 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
---|---|---|---|---|
Kalinowski_On_invertible_preservers_of_singularity.pdf | 677,58 kB | Adobe PDF | Przejrzyj / Otwórz |
Uznanie autorstwa - użycie niekomercyjne, bez utworów zależnych 3.0 Polska Creative Commons