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References
Bueso, J. L. andTorrecillas, B., On the cotorsion hull in torsion theory,Comm. Algebra 13 (1985), 1627–1642.
Facchini, A., Relative injectivity and pure-injective modules over Prüfer rings,J. Algebra 110 (1987), 380–406.
Fuchs, L., On divisible modules over domains, in:Abelian groups and modules, Proc. of the Udine Conference, CISM Courses and Lectures 287, Springer-Verlag, Wien-New York, 1984, 341–356.
Fuchs, L. andSalce, L.,Modules over valuation domains, Lecture Notes in Pure and Applied Mathematics 96, Marcel Dekker, New York-Basel, 1985.
Gruson, L. andJensen, C. U., Dimensions cohomologiques reliées aux foncteurs 85-1,Séminaire d’Algèbre P. Dubreil et M.-P. Malliavin, Lecture Notes in Mathematics867, Springer-Verlag, Berlin-Heidelberg-New York, 1981, 234–294.
Harrison, D., Infinite abelian groups and homological methods,Ann. of Math. 69 (1959), 366–391.
Matlis, E., Cotorsion modules,Mem. Amer. Math. Soc. 49 (1964).
Matlis, E.,Torsion-free modules, Chicago Lectures in Mathematics, Univ. of Chicago Press, Chicago-London, 1972.
Matlis, E.,1-dimensional Cohen-Macaulay rings, Lecture Notes in Mathematics327, Springer-Verlag, Berlin-Heidelberg-New York, 1973.
Pierce, R. S.,Associative algebras, Graduate Texts in Mathematics88, Springer-Verlag, New York-Heidelberg-Berlin, 1982.
Popescu, N.,Abelian categories with applications to rings and modules, Academic Press, London-New York, 1973.
Stenström, B., Pure submodules,Ark. Mat. 7 (1967), 159–171.
Stenström, B.,Rings of quotients, Springer-Verlag, Berlin-Heidelberg-New York, 1975.
Warfield, R. B., Purity and algebraic compactness for modules,Pacific J. Math. 28 (1969), 699–719.
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Facchini, A. Divisible modules over integral domains. Ark. Mat. 26, 67–85 (1988). https://doi.org/10.1007/BF02386109
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DOI: https://doi.org/10.1007/BF02386109