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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Šemrl, Peter, 1962- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2014]
Colección:Memoirs of the American Mathematical Society ; no. 1089.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Notation and basic definitions
  • Examples
  • Statement of main results
  • Proofs
  • Preliminary results
  • Splitting the proof of main results into subcases
  • Square case
  • Degenerate case
  • Non-square case
  • Proofs of corollaries.