Utumi endomorphism rings of dual modules
José L. Gómez Pardo (1989)
Extracta Mathematicae
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José L. Gómez Pardo (1989)
Extracta Mathematicae
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Kiiti Morita (1970)
Mathematische Zeitschrift
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Juan Jacobo Simón (1997)
Publicacions Matemàtiques
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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.
W. Zimmermann, B. Zimmermann-Huisgen (1978)
Mathematische Zeitschrift
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José Gómez Torrecillas, Blas Torrecillas Jover (1991)
Extracta Mathematicae
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Let R be an associative (not necessarily commutative) ring with unit. The study of flat left R-modules permits to achieve homological characterizations for some kinds of rings (regular Von Neumann, hereditary). Colby investigated in [1] the rings with the property that every left R-module is embedded in a flat left R-module and called them left IF rings. These rings include regular and quasi-Frobenius rings. Another useful tool for the study of non-commutative rings is the classical...
Robert B. jr. Warfield (1972)
Mathematische Zeitschrift
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Hiroyuki Tachikawa (1957/58)
Mathematische Zeitschrift
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Everett C. Dade (1982)
Mathematische Zeitschrift
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Vlastimil Dlab, Claus Michael Ringel (1972)
Mathematische Zeitschrift
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Spencer E. Dickson (1968)
Mathematische Zeitschrift
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K.R. Goodearl, R.B. Jr. Warfield (1982)
Mathematische Zeitschrift
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Daniel Simson (1984)
Rendiconti del Seminario Matematico della Università di Padova
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