References
H. Bass, Injective dimension in noetherian rings,Trans. Amer. Math. Soc.,102 (1962), 18–29.
H. Cartan and S. Eilenberg,Homological Algebra, Princeton University Press (Princeton, 1956).
C. Faith and E. A. Walker, Direct sum representations of injective modules,J. Alg.,5 (1967), 203–221.
F. T. Hannick, Special classes of generalized coherent rings,Acta Math. Acad. Sci. Hungar.,39 (1982), 185–193.
G. C. Hewitt, On ξ-noetherian conditions,Notices Amer. Math. Soc.,26 (1979), A-55.
E. Matlis, Injective modules over noetherian rings,Pac. J. Math.,8 (1958), 511–528.
Z. Papp, On algebraically closed modules,Publ. Math. Debrecen, (1958), 311–327.
R. S. Pierce, Closure spaces with applications to ring theory, inLectures on Rings and Modules, Springer Lecture Notes in Mathematics No. 246, Springer-Verlag (Berlin, 1972).
J. Rotman,Notes on Homological Algebra, Van Nostrand Reinhold (New York, 1970).
A. Simis, On modules.Canad, Math. Bull.,13 (1970), 245–247.
K. Yale,C[0,1] is not,Research Notes No. 6, University of Montana (Missoula, 1979).
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Hannick, F.T., Hewitt, G.C. Characterizations of generalized noetherian rings. Acta Math Hung 53, 61–73 (1989). https://doi.org/10.1007/BF02170054
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DOI: https://doi.org/10.1007/BF02170054