Periodic modules over general quantum Laurent polynomials
Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 10-17.

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

We construct, by induction on the number of variables, periodic finitely generated modules over general quantum Laurent polynomials.
@article{MZM_1997_61_1_a1,
     author = {V. A. Artamonov},
     title = {Periodic modules over general quantum {Laurent} polynomials},
     journal = {Matemati\v{c}eskie zametki},
     pages = {10--17},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a1/}
}
TY  - JOUR
AU  - V. A. Artamonov
TI  - Periodic modules over general quantum Laurent polynomials
JO  - Matematičeskie zametki
PY  - 1997
SP  - 10
EP  - 17
VL  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a1/
LA  - ru
ID  - MZM_1997_61_1_a1
ER  - 
%0 Journal Article
%A V. A. Artamonov
%T Periodic modules over general quantum Laurent polynomials
%J Matematičeskie zametki
%D 1997
%P 10-17
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a1/
%G ru
%F MZM_1997_61_1_a1
V. A. Artamonov. Periodic modules over general quantum Laurent polynomials. Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 10-17. http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a1/

[1] Artamonov V. A., “Proektivnye moduli nad kvantovymi algebrami polinomov”, Matem. sb., 185:7 (1994), 3–12 | MR | Zbl

[2] Artamonov V. A., “Moduli nad kvantovymi polinomami”, Matem. zametki, 59:4 (1996), 497–503 | MR | Zbl

[3] Passman D., Infinite crossed products, Acad. Press, San Diego, 1989 | Zbl

[4] Alev J., Chamarie M., “Dérivations et automorphismes de quelques algèbres quantiques”, Comm. Algebra, 20:6 (1992), 1787–1802 | DOI | MR | Zbl

[5] Jordan D. A., “Krull and global dimensions of certain iterated skew polynomial rings”, Contemp. Math., 130 (1992), 201–213 | Zbl

[6] Osborn M. J., Passman D. S., “Derivations of skew polynomial rings”, J. Algebra, 176 (1995), 417–448 | DOI | MR | Zbl

[7] Demidov E. E., “O nekotorykh aspektakh teorii kvantovykh grupp”, UMN, 48:6 (1993), 39–74 | MR | Zbl

[8] Montgomery S., Hopf algebras and their actions on rings, Conference Board of Math. Soc., 82, AMS, Providence, 1993 | Zbl

[9] McConnell J. C., Pettit J. J., “Crossed products and multiplicative analogues of Weyl algebras”, J. London Math. Soc., 38:1 (1988), 47–55 | DOI | MR | Zbl

[10] Lam T. Y., Serre's conjecture, Lecture Notes in Math., 635, Springer, Berlin, 1978 | Zbl

[11] Burbaki N., Kommutativnaya algebra, Mir, M., 1971

[12] Hodges T. J., McConnell J. C., “On Ore and skew-Laurent extensions of Noetherian rings”, J. Algebra, 73:1 (1981), 56–64 | DOI | MR | Zbl