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References
J.Ahsan, Rings characterized by their torsion cyclic modules. Houston J. Math. (3)14 (1988), to appear.
A. K. Boyle, Hereditary QI rings. Trans. Amer. Math. Soc.192, 115–120 (1974).
A. K. Boyle andK. R. Goodearl, Rings over which certain modules are injective. Pacific J. Math.58, 43–53 (1975).
A. W. Chatters andC. R. Hajarnavis, Rings in which every complement right ideal is a direct summand. Quart. J. Math. Oxford (2)28, 61–80 (1977).
A. W.Chatters and C. R.Hajarnavis, Rings with chain conditions. London 1980.
J. H. Cozzens, Homological properties of the ring of differential polynomials. Bull. Amer. Math. Soc.76, 75–79 (1970).
R. F. Damiano, A right PCI ring is right noetherian. Proc. Amer. Math. Soc.77, 11–14 (1979).
C. Faith, When are proper cyclics injective? Pacific J. Math.45, 97–112 (1973).
C. Faith, On a theorem of Chatters. Comm. Algebra (2)3, 169–184 (1975).
C.Faith, Algebra II: Ring theory. Berlin-Heidelberg-New York 1976.
J. D. Fuelberth andM. L. Teply, The singular submodule of a finitely generated submodule splits off. Pacific J. Math.40, 73–82 (1972).
J. S.Golan, Localisation of non-commutative rings. New York-Basel 1975.
K. R.Goodearl, Singular torsion and splitting properties. Mem. Amer. Math. Soc.124 (1972).
Y. Hirano andH. Tominaga, Regular rings,V-rings and their generalizations. Hiroshima Math. J.9, 137–149 (1979).
G. Michler andO. E. Villamayor, On rings whose simple modules are injective. J. Algebra25, 185–201 (1973).
B. L. Osofsky, Non-injective cyclic modules. Proc. Amer. Math. Soc.19, 1383–1384 (1968).
P. F. Smith, Decomposing modules into projectives and injectives. Pacific J. Math.76, 247–266 (1978).
P. F. Smith, Rings characterized by their cyclic modules. Canad. J. Math.24, 93–111 (1979).
M. L. Teply, The singular submodule of a cyclic module splits off. Canad. J. Math.24, 450–464 (1972).
M. L. Teply, Semiprime rings with the singular splitting property. Pacific J. Math.57, 575–579 (1975).
M. L. Teply, A history of progress on the singular splitting problem. Secretariado de Publicationes y Departmento de Algebra y Fundamentos Universidad de Murcia, Murcia 1984.
C. I. Visonhaler, Orders in QF-3 rings. Suplement, J. Algebra17, 149–151 (1971).
R.Wisbauer, Grundlagen der Modul- und Ringtheorie. München 1988.
R. Yue Chi Ming, On injectivity andp-injectivity. J. Math. Kyoto Univ.27, 439–452 (1987).
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van Huynh, D., Dung, N.V. Rings with restricted injective condition. Arch. Math 54, 539–548 (1990). https://doi.org/10.1007/BF01188682
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DOI: https://doi.org/10.1007/BF01188682