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Injective modules and classical localization in Noetherian rings. (English) Zbl 0259.16001


MSC:

16P50 Localization and associative Noetherian rings
16P10 Finite rings and finite-dimensional associative algebras
16D50 Injective modules, self-injective associative rings
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References:

[1] Alfred W. Goldie, The structure of Noetherian rings, Lecture on rings and modules (Tulane Univ. Ring and Operator Theory Year, 1970-1971, Vol. I), Springer, Berlin, 1972, pp. 213 – 321. Lecture Notes in Math., Vol. 246.
[2] Oscar Goldman, Rings and modules of quotients, J. Algebra 13 (1969), 10 – 47. · Zbl 0201.04002 · doi:10.1016/0021-8693(69)90004-0
[3] A. V. Jategaonkar, An unpublished privately circulated letter to J. Kuzmanovich, November 1970.
[4] J. Kuzmanovich, Localization in HNP-rings (to appear). · Zbl 0253.16004
[5] J. Lambek and G. Michler, The torsion theory at a prime ideal in a right Noetherian ring (to appear). · Zbl 0259.16018
[6] Eben Matlis, Injective modules over Noetherian rings, Pacific J. Math. 8 (1958), 511 – 528. · Zbl 0084.26601
[7] Klaus W. Roggenkamp and Verena Huber-Dyson, Lattices over orders. I, Lecture Notes in Mathematics, Vol. 115, Springer-Verlag, Berlin-New York, 1970. Klaus W. Roggenkamp, Lattices over orders. II, Lecture Notes in Mathematics, Vol. 142, Springer-Verlag, Berlin-New York, 1970.
[8] Alex Rosenberg and Daniel Zelinsky, Finiteness of the injective hull, Math. Z. 70 (1958/1959), 372 – 380. · Zbl 0084.26505 · doi:10.1007/BF01558598
[9] Bo Stenström, Rings and modules of quotients, Lecture Notes in Mathematics, Vol. 237, Springer-Verlag, Berlin-New York, 1971. · Zbl 0229.16003
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