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The optimal version of Hua's fundamental theorem of geometry of rectangular matrices /
Hua's fundamental theorem of geometry of matrices describes the general form of bijective maps on the space of all m\times n matrices over a division ring \mathbb{D} which preserve adjacency in both directions. Motivated by several applications the author studies a long standing open problem of...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2014]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1089. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Hua's fundamental theorem of geometry of matrices describes the general form of bijective maps on the space of all m\times n matrices over a division ring \mathbb{D} which preserve adjacency in both directions. Motivated by several applications the author studies a long standing open problem of possible improvements. There are three natural questions. Can we replace the assumption of preserving adjacency in both directions by the weaker assumption of preserving adjacency in one direction only and still get the same conclusion? Can we relax the bijectivity assumption? Can we obtain an analogous. |
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| Notas: | "Volume 232, Number 1089 (first of 6 numbers), November 2014." |
| Descripción Física: | 1 online resource (v, 74 pages) |
| Bibliografía: | Includes bibliographical references (pages 73-74). |
| ISBN: | 9781470418922 1470418924 |
| ISSN: | 0065-9266 ; |