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References
F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Graduate Texts in Mathematics, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
M. F. Atiyah and I. G. MacDonald, Introduction to Commutative Algebra, Addison-Wesley, 1969.
H. Bass, On the ubiquity of Gorenstein rings, Math. Z., 82 (1963), 8–28.
M. Boratynski, A change of rings theorem and the Artin-Rees property, Proc. Amer. Math. Soc., 53 (1975), 307–310.
A. W. Chatters and C. R. Hajarnavis, Rings with Chain Conditions, Pitman, Boston-London-Melbourne, 1980.
R. Damiano and Z. Papp, On consequences of stability, Comm. Algebra, 9 (1981), 747–764.
D. Z. Djokovic, Epimorphisms of modules which must be isomorphisms, Canad. Math. Bull., 16 (1973), 513–515.
C. Faith, Algebra II: Ring Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1976.
P. Gabriel, Des Categories abeliennes, Bull. Soc. Math. France, 90 (1962), 323–448.
J. Golan, Localization of Noncommutative Rings, Marcel Dekker, New York, 1975.
A. W. Goldie, Localization in non-commutative noetherian rings, J. Alg. 5 (1967), 89–105.
R. Gordon and J. C. Robson, Krull dimension, Amer. Math. Soc. Memoirs, #133 (1973).
A. V. Jategaonkar, Injective modules and localization in noncommutative noetherian rings, Trans. Amer. Math. Soc. 190 (1974), 109–123.
A. V. Jategaonkar, Relative Krull dimension and prime ideals in right noetherian rings, Comm. Alg., 2 (1974), 429–468.
A. W. Jategaonkar, Certain injectives are artinian, Non-commutative ring theory, Lecture Notes in Math. No. 545, 128–139.
A. V. Jategaonkar, Morita duality and noetherian rings, J. Alg. 69 (1981), 358–371.
S. Jöndrup, Homological dimensions of some P.I. rings, Comm. Algebra, 8 (1980), 685–696.
G. Krause, On fully left bounded left noetherian rings, J. Algebra, 23 (1972), 88–99.
G. Krause, T. H. Lenagan, and J. T. Stafford, Ideal invariance and artinian quotient rings, J. Algebra, 55 (1978), 145–154.
J. Lambek and G. Michler, Completions and classical localizations of right noetherian rings, Pac. J. Math. 48 (1973), 133–140.
J. C. McConnell, The noetherian property in complete rings and modules, J. Alg. 12 (1969), 143–153.
B. Müller, On Morita duality, Canad. J. Math., 21 (1969), 1338–1347.
B. Müller, Ideal invariance and localization, Comm. Algebra, 7 (1979), 415–441.
B. Müller, Two-sided localization in noetherian PI rings, J. Algebra 63 (1980), 359–373.
R. Resco, L. Small and J. T. Stafford, Krull and global dimensions of semiprime noetherian PI-rings, preprint.
J. J. Rotman, An Introduction to Homological Algebra, Academic Press, New York, 1980.
P. F. Smith, Localization and the AR property, Proc. London Math. Soc., 22 (1971), 39–68.
P. F. Smith, On two-sided artinian quotient rings, Glasgow Math. J., 13 (1972), 159–163.
B. Stenström, Rings of Quotients, Springer-Verlag, Berlin-Heidelberg-New York, 1975.
P. Vamos, Semi-local noetherian PI-rings, Bull. London Math. Soc., 9 (1977), 251–256.
R. Walker, Local rings and normalizing sets of elements, Proc. London Math. Soc., 24 (1972), 27–45.
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Damiano, R.F., Papp, Z. (1982). Stable rings with finite global dimension. In: Advances in Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067324
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DOI: https://doi.org/10.1007/BFb0067324
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