Graded regular rings and modules
Čebyševskij sbornik, Tome 11 (2010) no. 3, pp. 22-31.

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

@article{CHEB_2010_11_3_a3,
     author = {I. N. Balaba},
     title = {Graded regular rings and modules},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {22--31},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2010_11_3_a3/}
}
TY  - JOUR
AU  - I. N. Balaba
TI  - Graded regular rings and modules
JO  - Čebyševskij sbornik
PY  - 2010
SP  - 22
EP  - 31
VL  - 11
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2010_11_3_a3/
LA  - ru
ID  - CHEB_2010_11_3_a3
ER  - 
%0 Journal Article
%A I. N. Balaba
%T Graded regular rings and modules
%J Čebyševskij sbornik
%D 2010
%P 22-31
%V 11
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2010_11_3_a3/
%G ru
%F CHEB_2010_11_3_a3
I. N. Balaba. Graded regular rings and modules. Čebyševskij sbornik, Tome 11 (2010) no. 3, pp. 22-31. http://geodesic.mathdoc.fr/item/CHEB_2010_11_3_a3/

[1] Goodearl K. R., Von Neumann regular rings, Pitman, London, 1979 | MR | Zbl

[2] Zelmanowitz J., “Regular modules”, Trans. Amer. Math. Soc., 163 (1972), 341–355 | MR | Zbl

[3] Ware R., “Endomorphism rings of proective modules”, Trans. Amer. Math. Soc., 155 (1971), 233–256 | MR | Zbl

[4] Nǎstǎsescu C., van Oystaeyen F., Graded ring theory, North-Holland, Amsterdam e. a., 1982 | MR

[5] van Oystaeyen F., “Note on graded von Neumann regular rings”, Rev. Roumaine Math. Pures Appl., 29:3 (1984), 263–271 | MR | Zbl

[6] Yahya H., “A note on graded regular rings”, Comm. Alg., 25:1 (1997), 223–228 | MR | Zbl

[7] Elmakhdi S. S., Graduirovannye regulyarnye moduli i graduirovannye V-moduli, Diss. na soisk. uch. stepeni kand. fiz.-mat. nauk, Moskva, 1985

[8] Abrams G., Menini C., del Rio A., “Realization theorems for categories of graded module over semigroup-graded rings”, Comm. Alg., 22:13 (1994), 5343–5388 | MR | Zbl

[9] Bell A. D., “Prime ideals and radicals in rings graded by Clifford semigroups”, Comm. Alg., 25 (1997), 1595–1608 | MR | Zbl

[10] Kelarev A. V., “Semisimple ring graded by inverse semigroup”, J. Algebra, 205 (1998), 451–459 | MR | Zbl

[11] Janeski J., Weissglass J., “Regularity of semilattice sums of rings”, Proc. Amer. Math. Soc., 39:3 (1973), 479–482 | MR | Zbl

[12] Munn W. D., “A class of band-graded rings”, J. London Math. Soc., 45 (1992), 1–16 | MR | Zbl

[13] Balaba I. N., “Graduirovannye regulyarnye koltsa”, Izvestiya TulGU. Seriya Matematika. Mekhanika. Informatika, 8:1 (2002), 5–9 | MR

[14] Nuretdinov I. R., Zelenov S. V., “Graduirovannye regulyarnye koltsa”, Formalnye stepennye ryady i algebraicheskaya kombinatorika, Trudy 12 Mezhdunarodnoi konferentsii FPSAC`00, dopolnitelnye tezisy, M., 2000, 51–52

[15] Zalesskii A. E., Mikhalev A. V., “Gruppovye koltsa”, v. 2, Itogi nauki i tekhniki. Sovremennye problemy matematiki, VINITI, M., 1973, 5–118 | MR

[16] Dǎus L., van Oystaeyen F., “Regularity and generalized invertibility in graded rings”, New techniques in Hopf algebras and graded rings theory, Proceeding, 2007, 79–84 | MR | Zbl

[17] Cohen M., Montgomery S., “Group-graded ring, smash products, and group action”, Trans. Amer. Math. Soc., 282:1 (1984), 237–258 | MR | Zbl

[18] Klifford A., Preston G., Algebraicheskaya teoriya polugrupp, v. 1, Mir, M., 1972 | Zbl