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References
M. C. R. Butler, On locally free torsion-free rings of finite rank. J. London Math. Soc.43, 297–300 (1968).
A. L. S. Corner, Every countable reduced torsion-free ring is an endomorphism ring. Proc. London Math. Soc. (3)13, 687–710 (1963).
A. L. S. Corner andR. Göbel, Prescribing endomorphism algebras, a unified treatment. Proc. London Math. Soc. (3)50, 447–479 (1985).
T. Faticoni, Each countable reduced torsion-free commutative ring is a pure subring of anE-ring. Comm. Algebra15, 2545–2564 (1987).
R. Göbel andW. May, The construction of mixed modules from torsion-free modules. Arch. Math.48, 476–490 (1987).
B.Goldsmith and P.Zanardo, The Walker endomorphism algebra of a mixed module. To appear in Proc. Roy. Irish Acad. Sect. A.
W.May, Endomorphisms of valuated torsion-free modules. In: Abelian Groups, R. Göbel and L. Fuchs, eds., Lecture Notes in Pure and Appl. Math.146, 201–207, New York 1993.
R. S. Pierce andC. I. Vinsonhaler, ClassifyingE-rings. Comm. Algebra19, 615–653 (1991).
H. Zassenhaus, Orders as endomorphism rings of modules of the same rank. J. London Math. Soc.42, 180–182 (1967).
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Göbel, R., May, W. The construction of mixed modules from torsion modules. Arch. Math 62, 199–202 (1994). https://doi.org/10.1007/BF01261358
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DOI: https://doi.org/10.1007/BF01261358