Geodesic
The structure of modules close to projective modules
Sbornik. Mathematics, Tome 35 (1979) no. 2, pp. 219-228 Cet article a éte moissonné depuis la source Math-Net.Ru

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A complete description is obtained of quasi-projective modules over a bounded Dedekind prime ring, and the author ascertains when the classical ring of quotients of a hereditary noetherian ring $R$ is quasi-projective (weak projective) as an $R$-module. Bibliography: 21 titles. 
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     title = {The structure of modules close to projective modules},
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A. A. Tuganbaev. The structure of modules close to projective modules. Sbornik. Mathematics, Tome 35 (1979) no. 2, pp. 219-228. http://geodesic.mathdoc.fr/item/SM_1979_35_2_a4/

[1] L. E. T. Wu, J. P. Jans, “On quasi projectives, III”, J. Math., 11:3 (1967), 439–448 | MR | Zbl

[2] V. E. Govorov, “Maloin'ektivnye moduli”, Algebra i logika, 2:6 (1963), 21–50 | MR | Zbl

[3] S. Singh, “Modules over hereditary noetherian prime rings”, Canad. J. Math., 27:4 (1975), 867–883 | MR | Zbl

[4] J. C. Robson, “Non-commutative Dedekind rings”, J. Algebra, 9:3 (1968), 249–265 | DOI | MR | Zbl

[5] L. Levy, “Torsion-free and divisible modules over non-integral domains”, Canad. J. Math., 15:1 (1963), 132–151 | MR | Zbl

[6] E. Robert, “Une propriete d'exactitude du foncteur horn et quelques caracterisations de modules projectifs”, J. Algebra, 28:2 (1974), 253–283 | DOI | MR

[7] A. W. Goldie, “Semi-prime rings with maximum condition”, Proc. London Math. Soc., 10 (1969), 201–320 | DOI | MR

[8] W. D. Gwynne, J. C. Robson, “Completions of non-commutative Dedekind prime rings”, J. London Math. Soc., 4 (197l), 346–352 | DOI | MR | Zbl

[9] T. H. Lenagan, “Bounded hereditary noetherian prime rings”, J. London Math. Soc., 6 (1973), 241–246 | DOI | MR | Zbl

[10] H. Marubayashi, “Modules over bounded Dedekind prime rings”, Osaka J. Math., 9:1 (1972), 95–110 | MR | Zbl

[11] S. Singh, “Quasi-injective and quasi-projective modules over hereditary noetherian prime rings”, Canad. J. Math., 26:5 (1974), 1173–1185 | MR | Zbl

[12] H. Bass, “Finitistic dimension and a homological generalization of semiprimary rings”, Trans. Amer. Math. Soc., 95:3 (1960), 466–488 | DOI | MR | Zbl

[13] L. A. Skornyakov, “Kogda vse moduli – polutsepnye?”, Matem. zametki, 5:2 (1969), 173–182 | Zbl

[14] E. Matlis, “Injective modules over noetherian rings”, Pacific J. Math., 8 (1958), 511–528 | MR | Zbl

[15] D. Eisenbud, J. C. Robson, “Modules over Dedekind prime rings”, J. Algebra, 16:1 (1970), 67–85 | DOI | MR | Zbl

[16] C. Faith, “Lectures on injective modules and quotient rings”, Lect. Notes in Math., 49 (1967) | MR

[17] D. Eisenbud, J. C. Robson, “Hereditary noetherian prime rings”, J. Algebra, 16:1 (1970), 86–104 | DOI | MR | Zbl

[18] R. N. Gupta, “On $f$-injective modules and semihereditary rings”, Proc. Nat. Inst. Sci. India, A35:2 (1969), 323–328 | MR

[19] K. M. Rangaswamy, N. Vanaya, “Quasiprojectives in Abelian and modules categories”, Pacific J. Math., 43:1 (1972), 221–238 | MR | Zbl

[20] G. Bonnard, “Sur un probleme d'algebre commutative; modules scindants et modules coscidants”, J. Algebra, 35 (1975), 72–85 | DOI | MR | Zbl

[21] A. P. Mishina, “Ob avtomorfizmakh i endomorfizmakh abelevykh grupp”, Vestnik MGU, matem., mekh., 1972, no. 1, 62–66 | Zbl