Geodesic
Graded versions of Goldie's theorem. II
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 47-51 
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/
@article{VMUMM_2013_3_a6,
     author = {A. L. Kanunnikov},
     title = {Graded versions of {Goldie's} {theorem.~II}},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {47--51},
     year = {2013},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a6/}
}
TY  - JOUR
AU  - A. L. Kanunnikov
TI  - Graded versions of Goldie's theorem. II
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2013
SP  - 47
EP  - 51
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a6/
LA  - ru
ID  - VMUMM_2013_3_a6
ER  - 
%0 Journal Article
%A A. L. Kanunnikov
%T Graded versions of Goldie's theorem. II
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2013
%P 47-51
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a6/
%G ru
%F VMUMM_2013_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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