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 antiisomorphisms between endomorphism rings of infinitely generated projective modules may exist.
@article{urn:eudml:doc:41298,
title = {There is no analog of the transpose map for infinite matrices.},
journal = {Publicacions Matem\`atiques},
volume = {41},
year = {1997},
pages = {653-657},
mrnumber = {MR1485509},
zbl = {0896.15003},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41298}
}
Simón, Juan Jacobo. There is no analog of the transpose map for infinite matrices.. Publicacions Matemàtiques, Tome 41 (1997) pp. 653-657. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41298/