Revistes Catalanes amb Accés Obert (RACO)

There is no analog of the transpose map for infinite matrices

J. J. Simón Pinero
DOI: 37920

Resum


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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