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References:
[1] F. W. Call and T. S. Shores: The Splitting of Bounded Torsion Submodules. Commun. Alg. 9 (1981), 1161–1214. DOI 10.1080/00927878108822640 | MR 0617781
[2] H. Cartan and S. Eilenberg: Homological Algebra. Princeton, 1956. MR 0077480
[3] V. C. Cateforis and F. L. Sandomierski: The Torsion Submodule Splits Off. J. Algebra 10 (1968), 149–165. DOI 10.1016/0021-8693(68)90091-4 | MR 0241465
[4] J. Cozzens: Homological Properties of the Ring of Differential Polynomials. Bull. Amer. Math. Soc. 76 (1970), 75–79. DOI 10.1090/S0002-9904-1970-12370-9 | MR 0258886 | Zbl 0213.04501
[5] P. C. Eklof, L. Fuchs, and S. Shelah: Baer Modules Over Domains. Trans. Amer. Math. Soc. 322 (1990), 547–560. DOI 10.1090/S0002-9947-1990-0974514-8 | MR 0974514
[6] L. Fuchs and G. Viljoen: A Weaker Form of Baer’s Splitting Problem Over Valuation Domains. Questiones Math. 14 (1991), 227–236. DOI 10.1080/16073606.1991.9631639 | MR 1107683
[7] J. D. Fuelberth and M. L. Teply: The Torsion Submodule Splits Off. Math. Ann. 188 (1970), 270–284. DOI 10.1007/BF01431462 | MR 0276264
[8] J. D. Fuelberth and M. L. Teply: The Singular Submodule of a Finitely Generated Module Splits Off. Pacific J. Math. 40 (1972), 73–82. DOI 10.2140/pjm.1972.40.73 | MR 0306266
[9] J. S. Golan: Torsion Theories, Pitman Monographs 29. Longman Scientific and Technical/John Wiley, New York, 1986. MR 0880019
[10] L. R. Goodearl: Singular Torsion and the Splitting Properties. Mem. Amer. Math. Soc. 124 (1972). MR 0340335 | Zbl 0242.16018
[11] R. P. Grimaldi: Baer and UT-modules Over Domains. Pacific J. Math. 54 (1974), 59–72. DOI 10.2140/pjm.1974.54.59 | MR 0376650 | Zbl 0283.13004
[12] G. Helzer: On Divisibility and Injectivity. Canad. J. Math. 18 (1966), 901–919. DOI 10.4153/CJM-1966-091-2 | MR 0199225 | Zbl 0145.26502
[13] I. Kaplansky: Modules Over Dedekind Rings and Valuation Rings. Trans. Amer. Math. Soc. 72 (1952), 327–340. DOI 10.1090/S0002-9947-1952-0046349-0 | MR 0046349 | Zbl 0046.25701
[14] I. Kaplansky: The Splitting of Modules Over Integral Domains. Archiv. der Math. 13 (1962), 341–343. DOI 10.1007/BF01650081 | MR 0144939 | Zbl 0108.26302
[15] J. C. Robson: Idealizers and Hereditary Noetherian Prime Rings. J. Algebra 22 (1972), 45–81. DOI 10.1016/0021-8693(72)90104-4 | MR 0299639 | Zbl 0239.16003
[16] J. J. Rotman: An Introduction to Homological Algebra. Academic Press, New York, 1979. MR 0538169 | Zbl 0441.18018
[17] B. Stenström: Rings of Quotients, Die Grundlehren der math. Wiss. in Einzeld. 217. Springer-Verlag, Berlin, 1975. MR 0389953
[18] M. L. Teply: On a Class of Divisible Modules. Pacific J. Math. 45 (1973), 653–668. DOI 10.2140/pjm.1973.45.653 | MR 0318208
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