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References
E. P. Armendariz and J. W. Fisher, Idealizers in rings, J. Algebra 39(1976), 551–562.
S. U. Chase, A generalization of the ring of triangular matrices, Nagoya Math. J. 18(1961), 13–25.
K. R. Goodearl, Idealizers and nonsingular rings, Pacific J. Math. 48(1973), 395–402.
_____, Localization and splitting in hereditary noetherian prime rings, Pacific J. Math. 53(1974), 137–151.
_____, Subrings of idealizer rings, J. Algebra 33(1975), 405–429.
R. Gordon and J. C. Robson, Krull dimension, Mem. Amer. Math. Soc. 133(1973).
__________, The Gabriel dimension of a module, J. Algebra 29 (1974), 459–473.
F. Hansen, Schranken für die Gabriel-und Krull-dimension Idealisator-ähnlicher Ringerweiterungen, Arch. Math. 28(1977), 584–593.
G. Krause, Krull dimension and Gabriel dimension of idealizers of semimaximal left ideals, J. London Math. Soc. (2) 12(1976), 137–140.
G. Krause and M. L. Teply, The transfer of the Krull dimension and the Gabriel dimension to subidealizers, Canad. J. Math. 29(1977), 874–888.
J. C. Robson, Idealizers and hereditary noetherian prime rings, J. Algebra 22(1972), 45–81.
_____, Simple noetherian rings need not have unity elements, Bull. London Math. Soc. 7(1975), 269–270.
B. Stenström, Rings and modules of quotients, Lecture Notes in Math 237, Springer-Verlag, Berlin, 1971.
M. L. Teply, Prime singular-splitting rings with finiteness conditions, Noncommutative ring theory — Kent State 1975, Lecture Notes in Math. 545, Springer-Verlag, Berlin, 1976, 173–194.
_____, On the transfer of properties to subidealizer rings, Communications in Algebra 5(1977), 743–758.
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© 1979 Springer-Verlag
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Hansen, F., Teply, M.L. (1979). On the Gabriel dimension and subidealizer rings. In: Faith, C., Wiegand, S. (eds) Module Theory. Lecture Notes in Mathematics, vol 700. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063463
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DOI: https://doi.org/10.1007/BFb0063463
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