There is no analog of the transpose map for infinite matrices
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Autores: Juan Jacobo Simón Pinero
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 2, 1997, págs. 653-657
- Idioma: inglés
- DOI: 10.5565/publmat_41297_24
- Títulos paralelos:
- No existe análogo del mapa transpuesto de matrices infinitas
- Enlaces
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Resumen
In this note we show that there are no ring anti-isomorphism between row finite matrix rings. As a consequence we show that row finite and column finite matrix rings cannot be either isomorphic or Morita equivalent rings. We also show that anti-isomorphisms between endomorphism rings of infinitely generated projective modules may exist.
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