Geodesic
Almost-semisimple rings
Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 119-148 
L. A. Koifman. Almost-semisimple rings. Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 119-148. http://geodesic.mathdoc.fr/item/SM_1970_12_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this report there is given a full description of rings over which each module is the sum of an injective and a projective submodule. Bibliography: 12 titles.

[1] Kartan, Eilenberg, Gomologicheskaya algebra, IL, Moskva, 1960

[2] N. Dzhekobson, Stroenie kolets, IL, Moskva, 1961

[3] B. Osofsky, “Endomorphism rings of quasi-injective modules”, Canad. J. Math., 20:4 (1968), 895–903 | MR | Zbl

[4] B. Osofsky, “Rings all of whose finitely generated modules are injective”, Pacific. J. Math., 14:2 (1964), 645–650 | MR | Zbl

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

[6] S. Chase, “Direct products of modules”, Trans. Amer. Math. Soc., 97:3 (1960), 457–473 | DOI | MR

[7] M. Harada, “Hereditary semi-primary rings and triangular matrix rings”, Nag. Math. J., 27:4 (1966), 463–484 | MR | Zbl

[8] P. M. Cohn, “Quadratic extensions of skew fields”, Proc. London Math. Soc., XI:43 (1961), 531–556 | DOI | MR

[9] E. Matlis, “Injective modules over Noetherian rings”, Pacific J. Math., 8:3 (1958), 511–528 | MR | Zbl

[10] L. A. Koifman, “Koltsa, nad kotorymi kazhdyi modul imeet maksimalnyi podmodul”, Matem. zametki, 7:3 (1970), 359–367 | MR | Zbl

[11] C. Faith, Lectures on injective modules and quotient rings, Springer–Verlag, Berlin, 1967 | MR | Zbl

[12] P. M. Cohn, Morita Equivalence and Duality, Math. Notes, Queen Mary College, London