There is no analog of the transpose map for infinite matrices.
Publicacions Matemàtiques (1997)
- Volume: 41, Issue: 2, page 653-657
- ISSN: 0214-1493
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topSimón, Juan Jacobo. "There is no analog of the transpose map for infinite matrices.." Publicacions Matemàtiques 41.2 (1997): 653-657. <http://eudml.org/doc/41298>.
@article{Simón1997,
abstract = {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.},
author = {Simón, Juan Jacobo},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de matrices; Teoría de anillos; Módulos algebraicos; ring anti-isomorphism; row finite matrix rings; projective modules},
language = {eng},
number = {2},
pages = {653-657},
title = {There is no analog of the transpose map for infinite matrices.},
url = {http://eudml.org/doc/41298},
volume = {41},
year = {1997},
}
TY - JOUR
AU - Simón, Juan Jacobo
TI - There is no analog of the transpose map for infinite matrices.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 2
SP - 653
EP - 657
AB - 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.
LA - eng
KW - Teoría de matrices; Teoría de anillos; Módulos algebraicos; ring anti-isomorphism; row finite matrix rings; projective modules
UR - http://eudml.org/doc/41298
ER -
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