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A characterisation of reflexive modules

Published online by Cambridge University Press:  17 April 2009

José L. Gómez Pardo  and
Pedro A. Guil Asensio
José L. Gómez Pardo
Affiliation:
Departamento de AlxebraUniversidade de Santiago15771 Santiago de CompostelaSpain
Pedro A. Guil Asensio
Affiliation:
Departamento de MatemáticasUniversidad de Murcia30071 MurciaSpain
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Abstract

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We characterise reflexive modules over the rings R such that each finitely generated submodule of E(RR) is torsionless (left QF-3″ rings) by means of a suitable linear compactness condition relative to the Lambek torsion theory.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 455 - 458
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Pardo, J.L. Gómez and Asensio, P.A. Guil, ‘Morita dualities associated with the R-dual functors’, J. Pure Appl. Algebra 93 (1994), 179–194.CrossRefGoogle Scholar
[2]Pardo, J.L. Gómez and Asensio, P.A. Guil, ‘Reflexive modules over QF-3′ rings’, Tsukuba J. Math 19 (1995), 387–395.Google Scholar
[3]Hoshino, M., ‘On Lambek torsion theories’, Osaka J. Math. 29 (1992), 447–453.Google Scholar
[4]Hoshino, M. and Takashima, S., ‘On Lambek torsion theories, II’, Osaka J. Math. 31 (1994), 729–746.Google Scholar
[5]Masaike, K., ‘Semiprimary QF-3 rings’, Comm. Algebra 11 (1983), 377–389.CrossRefGoogle Scholar
[6]Masaike, K., ‘Duality for quotient modules and a characterization of reflexive modules’, J. Pure Appl. Algebra 28 (1983), 265–277.CrossRefGoogle Scholar
[7]Masaike, K., ‘Reflexive modules over QF-3 rings’, Canad. Math. Bull. 35 (1992), 247–251.Google Scholar
[8]Müller, B.J., ‘Linear compactness and Morita duality’, J. Algebra 16 (1970), 60–66.Google Scholar
[9]Stenström, B., Rings of quotients (Springer-Verlag, Berlin, Heidelberg, New York, 1975).Google Scholar