×

Pureté et platitude pour les modules généralisés. (French) Zbl 0217.07002

MSC:

18A22 Special properties of functors (faithful, full, etc.)
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] 1 Auslander M. , On the dimension of modules and algebras III , Nagoya Math. J. 9 ( 1956 ). MR 74406 | Zbl 0067.27103 · Zbl 0067.27103
[2] 2 Bourbaki N. , Algèbre commutative, chapitre I: Modules plats , Hermann , Paris . · Zbl 0108.04002
[3] 3 Bourbaki N. , Algèbre linéaire, chapitre I: Modules sur un anneau , Hermann , Paris . · Zbl 0030.29002
[4] 4 Berstein I. , On the dimension of modules and algebras IX , Nagoya Math. J. 13 ( 1958 ), 83 - 84 . Article | MR 100618 | Zbl 0084.26602 · Zbl 0084.26602
[5] 5 Cartan - Eilenberg , Homological Algebra , Princeton Un. Press . Zbl 0075.24305 · Zbl 0075.24305
[6] 6 Ehresmann C. , Catégories et Structures , Dunod , Paris , 1965 . MR 213410 | Zbl 0192.09803 · Zbl 0192.09803
[7] 7 Ehresmann C. , Algèbre 1ère partie , C. D. U. , Paris , 1968 . · Zbl 0174.30101
[8] 8 Eilenberg - Steenrod , Foundations o f algebraic Topology , P rin c e-ton Un. Press . Zbl 0047.41402 · Zbl 0047.41402
[9] 9 Freyd P. , Abelian Categories , Harper and Row , 1964 . MR 166240 | Zbl 0121.02103 · Zbl 0121.02103
[10] 10 Gabriel P. , Des catégories abéliennes , Bull. Soc. Math. France 90 ( 1962 ), 323 - 448 . Numdam | MR 232821 | Zbl 0201.35602 · Zbl 0201.35602
[11] 11 Govorov , On flat modules, Sibirsk Math. J. 6 ( 1965 ), 300 - 304 . MR 174598 | Zbl 0156.27104 · Zbl 0156.27104
[12] 12 Grothendieck A. , Elements d’Algèbre homologique , Tohoku Math. J. 9 ( 1959 ), 119 - 221 . Article | MR 102537 | Zbl 0118.26104 · Zbl 0118.26104
[13] 13 Jensen C.U. , On cohomological dimension of N0-coherent rings , Math. Scand. 20 ( 1967 ), 56 - 66 . Zbl 0147.28902 · Zbl 0147.28902
[14] 14 Lazard D. , Autour de la platitude , Bull. Soc. Math. France 97 ( 1969 ). Numdam | MR 254100 | Zbl 0174.33301 · Zbl 0174.33301
[15] 15 Mitchell B. , Theory of Categories , Academic Press , New York , 1965 . MR 202787 | Zbl 0136.00604 · Zbl 0136.00604
[16] 16 Mitchell B. , Rings with several objects (multigraphié) , Dalhousie University , November 1970 .
[17] 17 Oberst - Rohrl , Flat and coherent functors , J. of Algebra 14 ( 1970 ). MR 257181 | Zbl 0186.03003 · Zbl 0186.03003 · doi:10.1016/0021-8693(70)90136-5
[18] 18 Osofsky B. , Nagoya Math. J. 32 ( 1968 ), 315 - 322 . Article | MR 232805 | Zbl 0162.05102 · Zbl 0162.05102
[19] 19 Stenstrom , Purity in functor categories , J. of Algebra 8 ( 1968 ), 352 . MR 229697 | Zbl 0157.04204 · Zbl 0157.04204 · doi:10.1016/0021-8693(68)90064-1
[20] 20 Weidenfeld G. , Modules généralisés (Thèse 3e cycle, Paris , 1970 ), Esquisses mathématiques 3 (multigraphié) , P aris , 1970 .
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.