Cotorsion modules for torsion theories
Henderson, J., Orzech, M. (1977)
Portugaliae mathematica
Similarity:
Displaying similar documents to “Adjoints, torsion theory and purity.”
Cotorsion modules for torsion theories
Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
L. Fuchs (1986)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
On subfunctors of the identity
Radoslav Dimitrić (1986)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Isbell duality for modules.
Barr, Michael, Kennison, John F., Raphael, R. (2009)
Theory and Applications of Categories [electronic only]
Similarity:
The derived functors of and protorsion modules
Timothy Porter (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Similarity:
Torsion free types
John Dauns (1991)
Fundamenta Mathematicae
Similarity:
On torsionfree classes which are not precover classes
Ladislav Bican (2008)
Czechoslovak Mathematical Journal
Similarity:
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...
Relative exact covers
Ladislav Bican, Blas Torrecillas (2001)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Recently Rim and Teply [11] found a necessary condition for the existence of -torsionfree covers with respect to a given hereditary torsion theory for the category -mod. This condition uses the class of -exact modules; i.e. the -torsionfree modules for which every its -torsionfree homomorphic image is -injective. In this note we shall show that the existence of -torsionfree covers implies the existence of -exact covers, and we shall investigate some sufficient conditions for...