Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1999_63_5_a0, author = {V. A. Artamonov}, title = {General quantum polynomials: irreducible modules and {Morita} equivalence}, journal = {Izvestiya. Mathematics }, pages = {847--880}, publisher = {mathdoc}, volume = {63}, number = {5}, year = {1999}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1999_63_5_a0/} }
V. A. Artamonov. General quantum polynomials: irreducible modules and Morita equivalence. Izvestiya. Mathematics , Tome 63 (1999) no. 5, pp. 847-880. http://geodesic.mathdoc.fr/item/IM2_1999_63_5_a0/
[1] Artamonov V. A., “Proektivnye moduli nad kvantovymi algebrami polinomov”, Matem. sb., 185:7 (1994), 3–12 | MR | Zbl
[2] Manin Yu. I., Topics in non-commutative geometry, Princeton Univ. Press, 1991 | MR | Zbl
[3] Demidov E. E., Kvantovye gruppy, Faktorial, M., 1998
[4] Maltsiniotis G., “Groupes quantiques et structures dirrérentielles”, C. R. Acad. Sci. Paris. Sér. I. Math., 311 (1990), 831–834 | MR | Zbl
[5] Alev J., Dumas F., “Sur corps des fractions de certaines algébres quantique”, J. Algebra, 170 (1994), 229–265 | DOI | MR | Zbl
[6] Panov A. N., “Telo skruchennykh ratsionalnykh funktsii i telo ratsionalnykh funktsii na $\operatorname {GL}_q(n,K)$”, Algebra i analiz, 7:1 (1995), 153–169 | MR | Zbl
[7] 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
[8] Artamonov V. A., “Kvantovaya problema Serra”, UMN, 53:4 (1998), 3–77 | MR
[9] Artamonov V. A., “Moduli nad kvantovymi algebrami polinomov”, Matem. zametki, 59:4 (1996), 497–503 | MR | Zbl
[10] Artamonov V. A., “Periodicheskie moduli nad obschimi kvantovymi loranovskimi polinomami”, Matem. zametki, 61:1 (1997), 10–17 | MR | Zbl
[11] Bovdi A. A., Gruppovye koltsa, UMK, Kiev, 1988
[12] Artamonov V. A., “Projective modules over crossed products”, J. Algebra, 173 (1995), 696–714 | DOI | MR | Zbl
[13] Artamonov V. A., “Avtomorfizmy razlozhimykh proektivnykh modulei”, Fundamentalnaya i prikladnaya matematika, 1:1 (1995), 63–69 | MR | Zbl
[14] McConnell J. C., Robson J. C., Noncommutative Noetherian rings, John Wiley, Chichester – N. Y., 1987 | MR | Zbl
[15] Stafford J. T., “Endomorphisms of right ideals of the Weyl algebra”, Trans.Amer. Math. Soc., 299:2 (1987), 623–639 | DOI | MR | Zbl
[16] Smith P. S., “An example of a ring Morita equivalent to the Weyl algebra $A_1$”, J. Algebra, 73:2 (1981), 352–355 | DOI | MR
[17] Mikhalev A. V., “Isomorphisms and anti-isomorphisms of endomorphism rings of modules”, First international Tainan-Moscow algebra Workshop, Walter de Gruyter, Berlin – N. Y., 1996, 69–122 | MR
[18] Quillen D., “Higher algebraic $K$-theory”, Lecture Notes Math., 1973, no. 341, 87–147