Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FPM_2007_13_2_a10, author = {E. N. Shirikov}, title = {Jordanian plane}, journal = {Fundamentalʹna\^a i prikladna\^a matematika}, pages = {217--230}, publisher = {mathdoc}, volume = {13}, number = {2}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_2_a10/} }
E. N. Shirikov. Jordanian plane. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 2, pp. 217-230. http://geodesic.mathdoc.fr/item/FPM_2007_13_2_a10/
[1] Artamonov V. A., “Kvantovaya problema Serra”, Uspekhi mat. nauk, 53:4 (1998), 3–76 | MR
[2] Golovashkin A. V., Maksimov V. M., “Algebry kosykh polinomov, porozhdaemye kvadratichnymi odnorodnymi sootnosheniyami”, Zap. nauch. sem. POMI RAN, 301 (2003), 144–171
[3] Pirs R., Assotsiativnye algebry, Mir, M., 1986 | MR
[4] Kherstein I., Nekommutativnye koltsa, Mir, M., 1972 | MR
[5] Shirikov E. N., “Zhordanova ploskost nad polem polozhitelnoi kharakteristiki”, Mat. zametki, 82:2 (2007), 272–292 | MR | Zbl
[6] Artamonov V. A., “Valuations on quantum fields”, Comm. Algebra, 29:9 (2001), 3889–3904 | DOI | MR | Zbl
[7] Artamonov V. A., “Automorphisms and derivations of quantum polynomials”, Recent Advances in Lie Theory, vol. 25, eds. I. Bajo, E. Sanmartin, Heldermann Verlag, 2002, 109–120 | MR | Zbl
[8] Artamonov V. A., “Actions of Hopf algebras on general quantum Mal'tsev power series and quantum planes”, J. Math. Sci., 134:1 (2006), 1773–1798 | DOI | MR | Zbl
[9] Brown K. A., Goodearl K. A., Lectures on Algebraic Quantum Groups, Birkhäuser, Basel, 2002 | MR
[10] Dumas F., Rigal L., “Prime spectrum and automorphisms for $2\times 2$ Jordanian matrices”, Comm. Algebra, 30:6 (2002), 2805–2828 | DOI | MR | Zbl
[11] Jategaonkar V. A., “A multiplicative analog of the Weyl algebra”, Comm. Algebra, 14:12 (1984), 1669–1688 | DOI | MR
[12] McConnell J. C., Robson J. C., Noncommutative Noetherian Rings, John Miley Sons, New York, 1987 | MR | Zbl
[13] Ore O., “Theory of non-commutative polynomials”, Ann. Math. (2), 34 (1933), 480–508 | DOI | MR | Zbl
[14] Praton I., “Primitive ideals of Noetherian down-up algebras”, Comm. Algebra, 32:2 (2004), 443–471 | DOI | MR | Zbl
[15] Shirikov E. N., “Two-generated graded algebras”, Algebra Discrete Math., 3 (2005), 64–80 | MR
[16] Stafford J. T., Zhang J. J., “Examples in non-commutative projective geometry”, Math. Proc. Cambridge Philos. Soc., 116:3 (1994), 415–433 | DOI | MR | Zbl