Cotorsion modules for torsion theories
Henderson, J., Orzech, M. (1977)
Portugaliae mathematica
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Henderson, J., Orzech, M. (1977)
Portugaliae mathematica
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Jenda, Overtoun M.G. (1992)
Portugaliae mathematica
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Ahsan, J., Enochs, E. (1981)
Portugaliae mathematica
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Bhutani, Kiran R. (1989)
International Journal of Mathematics and Mathematical Sciences
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L. Fuchs (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Edgar E. Enochs, Juan Rada (2005)
Czechoslovak Mathematical Journal
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In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity.
Tomasz Jędrzejak, Maciej Ulas (2010)
Acta Arithmetica
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Aparna Dar (1987)
Mathematische Zeitschrift
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Ladislav Bican (2008)
Czechoslovak Mathematical Journal
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In the class of all exact torsion theories the torsionfree classes are cover (precover) classes if and only if the classes of torsionfree relatively injective modules or relatively exact modules are cover (precover) classes, and this happens exactly if and only if the torsion theory is of finite type. Using the transfinite induction in the second half of the paper a new construction of a torsionfree relatively injective cover of an arbitrary module with respect to Goldie’s torsion theory...