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La filtration de Gabriel. (French) Zbl 0277.13009


MSC:

13D99 Homological methods in commutative ring theory
18E35 Localization of categories, calculus of fractions
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References:

[1] N. Bourbaki , Algèbre commutative , chap. 1 et 2. · Zbl 0205.34302
[2] N. Bourbaki , Algèbre commutative chap. 3 et 4. · Zbl 0205.34302
[3] N. Bourbaki , Algèbre commutative chap. 5 et 6. · Zbl 0205.34302
[4] N. Bourbaki , chap. 8 : Modules et anneaux semi-simples , Paris , 1958 . · Zbl 0102.27203
[5] P. Gabriel , De catégories abélienne , Bull. Soc. Math. France , t. 90 , 1962 , p. 323 - 448 . Numdam | MR 232821 | Zbl 0201.35602 · Zbl 0201.35602
[6] S. Dickson , Decomposition of Modules II, Rings without chain condition , Math. Z. 104 ( 1968 ), 349 - 357 . Article | MR 229678 | Zbl 0164.34703 · Zbl 0164.34703 · doi:10.1007/BF01110426
[7] A. Hudry , C. R. Acad. Sci. Paris t. 270 , p. 925 - 928 ( 1970 ). MR 262285 | Zbl 0192.38102 · Zbl 0192.38102
[8] C Năstăsescu , N. Popescu , Sur la structure des objets de certaines catégorie abéliennes , C. R. Acad. Sci. Paris , t. 262 , 1966 , p. 1295 - 1927 . MR 200327 | Zbl 0283.18003 · Zbl 0283.18003
[9] C. Nastasescu , N. Popescu , Anneau semi-artiniens , Bull. Soc. Math. France , 7 . 96 , 1968 , p. 357 - 368 . Numdam | MR 238887 | Zbl 0227.16014 · Zbl 0227.16014
[10] C. Nastasescu , Quelques remarques sur la dimension homologique des anneaux. Éleménts réguliers , Journal of Algebra , 19 , N^\circ 4 , 1971 . MR 294410 | Zbl 0238.16022 · Zbl 0238.16022 · doi:10.1016/0021-8693(71)90080-9
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