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References
F. W.Anderson and K. R.Fuller, Rings and Categories of Modules. Berlin-Heidelberg-New York 1974.
J. Becvar andP. Jambor, On general concept of basic subgroups I. Comment. Math. Univ. Carolinae (4)13, 745–761 (1972); II, Comment. Math. Univ. Carolinae (3)14, 471–491 (1973).
K. Benabdallah etA. Birtz, Sur une famille de groupes abéliens super-decomposables. Canad. Math. Bull. (2)24, 213–218 (1981).
L.Bican, T.Kepka and P.Nemec, Rings, Modules and Preradicals. New York-Basel 1982.
A. L. S. Corner, Every countable torsion-free ring is an endomorphism ring. Proc. London. Math. Soc.13, 687–710 (1963).
M. Dugas andR. Göbel, Every Cotorsion-free Algebra is an endomorphism Algebra. Math. Z.18, 451–470 (1982).
C.Faith, Algebra: Rings, Modules, and Categories II. Berlin-Heidelberg-New York 1973.
P. Jambor, On generation of torsion theories. Comment. Math. Univ. Carolinae,13, 79–98 (1972).
P. Jambor, Rings with no super-decomposable modules (to appear). Notices of AMS (4)26, A-213 (1979).
K. Meinel, Superdecomposable modules over Dedekind domains. Arch. Math.39, 11–18 (1982).
R. B. Warfield, Jr., Rings whose modules have nice decompositions. Math. Z.,125, 187–192 (1972).
R. B. Warfield, Jr., Decomposability of finitely presented modules. Proc. Amer. Math. Soc.25, 167–172 (1970).
R. B. Warfield, Jr., Countably generated modules over commutative artinian rings. Pacific J. Math. (2)60, 289–302 (1975).
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Jambor, P.E. Commutative rings with no super-decomposable modules. Arch. Math 42, 517–519 (1984). https://doi.org/10.1007/BF01194048
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DOI: https://doi.org/10.1007/BF01194048