References
H. Boerner, Lineare Kompaktheit und die Zerlegung endlich erzeugter Moduln bei einreihigen Duoringen. Mitt. Math. Sem. Giessen121, 85–92 (1976).
V. K. Goel andS. K. Jain,π-injective modules and rings whose cyclics areπ-injective. Comm. Algebra (1)6, 59–73 (1978).
L. Jeremy, Modules et anneaux quasi-continus. Canad. Math. Bull. (2)17, 217–228 (1974).
E. Matlis, Injective modules over noetherian rings. Pacific J. Math.8, 511–528 (1958).
S. Mohamed andT. Bouhy, Continuous modules. Arabian J. Sci. Eng.2, 107–112 (1977).
B. J. MÜller andS. T. Rizvi, On the decomposition of continuous modules. Canad. Math. Bull.25, 296–301 (1982).
B. J. MÜller andS. T. Rizvi, On the existence of continuous hulls. Comm. Algebra (17)10, 1819–1838 (1982).
B. J. Müller andS. T. Rizvi, On injective and quasi-continuous modules. J. Pure Appl. Algebra28, 197–210 (1983).
B. J. Müller andS. T. Rizvi, Direct sums of indecomposable modules. Osaka J. Math.21, 365–374 (1984).
K. Oshiro, Continuous modules and quasi-continuous modules. Osaka J. Math.20, 681–694 (1983).
D. W.Sharpe and P.Vamos, injective Modules. Cambridge Univ. Press 1972.
Y. Utumi, On continuous regular rings and semisimple self-injective rings. Canad. J. Math.12, 597–605 (1960).
Y. Utumi, On continuous regular rings. Canad. Math. Bull. (1)4, 63–69 (1961).
Y. Utumi, On continuous rings and self-injective rings. Trans. Amer. Math. Soc.118, 158–173 (1965).
P. Vamos, Classical rings. J. Algebra34, 114–129 (1975).
J.Von Neumann, Continuous Geometry. Princeton Univ. Press 1960.
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Tariq Rizvi, S. Commutative rings for which every continuous module is quasi-injective. Arch. Math 50, 435–442 (1988). https://doi.org/10.1007/BF01196504
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DOI: https://doi.org/10.1007/BF01196504