Geodesic
Graded versions of Goldie's theorem. II
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 47-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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We continue the study of graded Goldie rings and their quotient rings. The main results are inverse Goldie's theorem for graded rings and graded analogues of third Goldie's theorem. 
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A. L. Kanunnikov. Graded versions of Goldie's theorem. II. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 47-51. http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a6/

[1] Nastasescu C., Oystaeyen F. van, Graded ring theory, Springer, Amsterdam, North-Holland, 2004 | MR

[2] Dzhekobson N., Stroenie kolets, IL, M., 1961 | MR

[3] Utumi Y., “On quotient rings”, Osaka Math. J., 8:1 (1956), 1–18 | MR

[4] Balaba I.N., Kanunnikov A.L., Mikhalev A.V., “Koltsa chastnykh graduirovannykh assotsiativnykh kolets. I”, Fund. i prikl. matem., 17:2 (2012), 3–74 | MR

[5] Tuganbaev A.A., Teoriya kolets. Arifmeticheskie moduli i koltsa, MTsNMO, M., 2009

[6] Kanunnikov A.L., “Graduirovannye varianty teoremy Goldi”, Vestn. Mosk. un-ta. Matem. Mekhan., 2011, no. 3, 46–50 | MR

[7] Goldie A.W., “Non-commutative principal ideal rings”, Arch. Math., 13 (1962), 214–221 | DOI | MR

[8] Jatengaonkar A.V., Left principal ideal rings, Lect. Notes Math., Springer, 1970 | DOI | MR

[9] Beidar K.I., Mikhalev A.V., “Ortogonalnaya polnota i algebraicheskie sistemy”, Uspekhi matem. nauk, 40:6 (1985), 79–115 | MR