Geodesic
On projective functors on free categories
Sbornik. Mathematics, Tome 42 (1982) no. 3, pp. 375-386 
Sh. Sakalosh. On projective functors on free categories. Sbornik. Mathematics, Tome 42 (1982) no. 3, pp. 375-386. http://geodesic.mathdoc.fr/item/SM_1982_42_3_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper free categories and functors on them are considered. A generalization of the theorems of Seshadri and Quillen are given, and as a corollary it is proved that every projective functor from a free category over a Dedekind ring is an induced functor. Bibliography: 5 titles.

[1] Lan T. Y., Serre's Conjectupe, Springer-Verlag, Berlin, 1978

[2] Kon P., Svobodnye koltsa i ikh svyazi, Mir, M., 1975 | MR

[3] Base X., Algebraicheskaya $K$-teoriya, Mir, M., 1973 | MR

[4] Semadeni Z., Wiweger A., Wstep do teorii kategorii i funktoro'w, PWN, Warszawa, 1978 | MR

[5] Rogachev Yu. V., “Nasledstvennost tenzornoi algebry i polunasledstvennost popolnennoi tenzornoi algebry”, DAN USSR, seriya A, 1975, no. 5, 409–412