Geodesic
Isomorphisms of graded endomorphism rings of progenerators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 1, pp. 3-10.

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

We prove the analogue of Bolla's theorem that isomorphisms of graded endomorphism rings of progenerators are induced by the graded Morita equivalence. 
@article{FPM_2007_13_1_a0,
     author = {I. N. Balaba},
     title = {Isomorphisms of graded endomorphism rings of progenerators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--10},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_1_a0/}
}
TY  - JOUR
AU  - I. N. Balaba
TI  - Isomorphisms of graded endomorphism rings of progenerators
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2007
SP  - 3
EP  - 10
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2007_13_1_a0/
LA  - ru
ID  - FPM_2007_13_1_a0
ER  - 
%0 Journal Article
%A I. N. Balaba
%T Isomorphisms of graded endomorphism rings of progenerators
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 3-10
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_1_a0/
%G ru
%F FPM_2007_13_1_a0
I. N. Balaba. Isomorphisms of graded endomorphism rings of progenerators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/FPM_2007_13_1_a0/

[1] Balaba I. N., “Graduirovannyi variant teoremy Mority”, Sb. tezisov V Vsesoyuzn. simp. po teorii kolets, algebr i modulei, IM SO AN SSSR, Novosibirsk, 1982, 10–11

[2] Balaba I. N., “Ekvivalentnosti Mority kategorii graduirovannykh modulei”, Uspekhi mat. nauk, 42:3(255) (1987), 177–178 | MR | Zbl

[3] Zaitsev M. V., Segal S. K., “Konechnye graduirovki prostykh artinovykh kolets”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 2001, no. 3, 21–24 | MR | Zbl

[4] Bolla M. L., “Isomorphisms between endomorphism rings of progenerators”, J. Algebra, 87 (1984), 261–281 | DOI | MR | Zbl

[5] Dade E. C., “Group-graded rings and modules”, Math. Z., 74:3 (1980), 241–262 | DOI | MR

[6] Dǎscǎlescu S., Ion B., Nǎstǎsescu C., Rios Montes J., “Group gradings on full matrix rings”, J. Algebra, 220 (1999), 709–728 | DOI | MR

[7] Del Rio A., “Graded rings and equivalence categories”, Comm. Algebra, 19:3 (1991), 997–1012 | DOI | MR | Zbl

[8] Gordon R., Green E. L., “Graded Artinian algebras”, J. Algebra, 76:1 (1982), 111–137 | DOI | MR | Zbl

[9] Menini C., Nǎstǎsescu C., “When is $R$-gr equivalent to the category of modules?”, J. Pure Appl. Algebra, 1988, no. 3, 277–291 | DOI | MR | Zbl

[10] Nǎstǎsescu C., van Oystaeyen F., Graded Ring Theory, North-Holland, Amsterdam, 1982 | MR