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Oberst, Ulrich; Schneider, Hans-Jürgen

Die Struktur von projektiven Moduln. (The structure of projective modules.). (German) Zbl 0232.16020

Invent. Math. 13, 295-304 (1971).
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Cited in 2 Reviews
Cited in 14 Documents

MathOverflow Questions:

Finitely presented modules admitting projective covers

MSC:

16D40 Free, projective, and flat modules and ideals in associative algebras
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16L30 Noncommutative local and semilocal rings, perfect rings
16S50 Endomorphism rings; matrix rings
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References:

[1] Bass, H.: Finitistic dimension and a homological generalization of semi-primary rings. Trans. Am. Math. Soc.95, 466-488 (1960). · Zbl 0094.02201 · doi:10.1090/S0002-9947-1960-0157984-8
[2] ?: Projective modules over free groups are free. J. Alg.1, 367-373 (1964). · Zbl 0145.26604 · doi:10.1016/0021-8693(64)90016-X
[3] Cartan, H., Eilenberg, S.: Homological algebra. Frinceton: Princeton University Press 1956. · Zbl 0075.24305
[4] Chase, S. U.: A generalization of the ring of triangular matrices. Nagoya Math. J.17, 13-25 (1960). · Zbl 0113.02901
[5] Gabriel, P.: Des catégories abéliennes. Bull. Soc. Math. France90, 323-448 (1962).
[6] Goblot, R.: Thèse, erscheint demnächst.
[7] Kaplansky, I.: Projective modules. Ann. Math.68, 372-377 (1958). · Zbl 0083.25802 · doi:10.2307/1970252
[8] Kasch, F., Mares, E. A.: Eine Kennzeichnung semiperfekter Moduln. Nagoya Math. J.27, 525-529 (1966). · Zbl 0158.28901
[9] Leptin, H.: Linear kompakte Ringe und Moduln. Math. Z.62, 241-267 (1955). · Zbl 0064.03201 · doi:10.1007/BF01180634
[10] Müller, B.: On semi-perfect rings. Illinois. J. Math.14, 464-467 (1970). · Zbl 0197.30903
[11] Oberst, U.: Duality theory for Grothendieckeategories and linearly compact rings. J. Alg.15, 473-542 (1970). · Zbl 0274.18011 · doi:10.1016/0021-8693(70)90051-7
[12] Roos, J. E.: Locally noetherian categories and generalized strietly linearly compact rings. Applications., Lecture Notes in Mathematics 92. Berlin-Heidelberg-New York: Springer 1969. · Zbl 0211.32602
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