Pseudo-Noetherian Rings
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 77-84

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In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the following definition.Definition. A commutative ring R is called pseudo-Noetherian if it satisfies the following two conditions.
McDowell, Kenneth P. Pseudo-Noetherian Rings. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 77-84. doi: 10.4153/CMB-1976-010-0
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[1] 1. Auslander, M. and Bridger, M., Stable module theory, Mem. Amer. Math. Soc. 94 (1969). Google Scholar

[2] 2. Auslander, M. and Buchsbaum, D., Homological dimension in local rings, Trans. Amer. Math. Soc. 85 (1957), 390–405. Google Scholar

[3] 3. Bass, H., Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. Google Scholar

[4] 4. Bourbaki, N., Éléments de Mathématique XXVII Algèbre Commutative, Hermann, Paris, 1961. Google Scholar

[5] 5. Cartan, H. and Eilenberg, S., Homological Algebra, Princeton University Press, Princeton, 1956. Google Scholar

[6] 6. Chase, S. U., Direct products of modules, Trans. Amer. Math. Soc. 97 (1960), 457–473. Google Scholar

[7] 7. Evans, E. G. Jr, Zero divisors in Noetherian-like rings, Trans. Amer. Math. Soc. 155 (1971), 505–512. Google Scholar

[8] 8. Kaplansky, I., Commutative Rings, Allyn and Bacon, Boston, 1970. Google Scholar

[9] 9. Osofsky, B. L., Upper bounds on homological dimension, Nagoya Math. J. 32 (1968), 315–322. Google Scholar

[10] 10. Rees, D., The grade of an ideal or module, Proc. Cambridge Philos. Soc. 53 (1957), 28–42. Google Scholar

[11] 11. Soublin, J. P., Anneaux et modules cohérents, J. Algebra 15 (1970), 455–472. Google Scholar

[12] 12. Vasconcelos, W. V., The local rings of global dimension two, Proc. Amer. Math. Soc. 35 (1972), 381–386. Google Scholar

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