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Flache und halbinjektive Funktoren. (German) Zbl 0354.18012

MSC:

18E15 Grothendieck categories (MSC2010)
18E99 Categorical algebra
18G05 Projectives and injectives (category-theoretic aspects)
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References:

[1] CHASE, S.: Direct products of modules. Trans. Amer. Math. Soc.97, 457-473 (1960) · Zbl 0100.26602 · doi:10.1090/S0002-9947-1960-0120260-3
[2] COLBY, R.R., RUTTER, E.A.: ?-flat and ?-projective modules. Arch. der Math.22, 246-251 (1971) · Zbl 0221.16020 · doi:10.1007/BF01222571
[3] GABRIEL, P., POPESCO, N.: Caractérisation des catégories abéliennes avec générateurs et limites inductives exactes. C.R. Acad. Sci. Paris258, 4188-4190 (1964) · Zbl 0126.03304
[4] IKEDA, M., NAKAJAMA, T.: On some characteristic properties of quasi-Frobenius and regular rings. Proc. Amer. Math. Soc.5, 15-18 (1954) · doi:10.1090/S0002-9939-1954-0060489-9
[5] LAZARD, D.: Autour de la platitude. Bull. Soc. Math. France97, 81-128 (1969) · Zbl 0174.33301
[6] MAC LANE, S.: Categories for the working mathematician. New York-Heidelberg-Berlin: Springer 1971 · Zbl 0232.18001
[7] MEGIBBEN, C.: Absolutely pure modules. Proc. Amer. Math. Soc.26, 561-566 (1970) · Zbl 0216.33803 · doi:10.1090/S0002-9939-1970-0294409-8
[8] MITCHELL, B.: Rings with several objects. Advances Math.8, 1-161 (1972) · Zbl 0232.18009 · doi:10.1016/0001-8708(72)90002-3
[9] QUENTEL, Y.: Sur l’ uniforme cohérence des anneaux noethériens. C.R. Acad. Sci. Paris Sér. A.275, 753-755 (1972) · Zbl 0254.13021
[10] STENSTRÖM, B.: Coherent rings and FP-injective modules. J. London Math. Soc., II. Ser.2, 323-329 (1970) · Zbl 0194.06602 · doi:10.1112/jlms/s2-2.2.323
[11] Takeuchi, M.: A simple proof of Gabriel and Popesco’s theorem. J. Algebra18, 112-113 (1971) · Zbl 0217.07004 · doi:10.1016/0021-8693(71)90130-X
[12] ULMER, F.: A flatness criterion in Grothendieck categories. Inventiones math.19, 331-336 (1973) · Zbl 0257.18020 · doi:10.1007/BF01425418
[13] WÜRFEL, T.: Über absolut reine Ringe. J. reine angew. Math.262/263, 381-391 (1973) · Zbl 0265.16011 · doi:10.1515/crll.1973.262-263.381
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