no. 3
Regularity of the four dimensional Sklyanin algebra
Compositio Mathematica, Tome 83 (1992) no. 3, pp. 259-289. 
@article{CM_1992__83_3_259_0,
     author = {Smith, S. P. and Stafford, J. T.},
     title = {Regularity of the four dimensional {Sklyanin} algebra},
     journal = {Compositio Mathematica},
     pages = {259--289},
     publisher = {Kluwer Academic Publishers},
     volume = {83},
     number = {3},
     year = {1992},
     mrnumber = {1175941},
     zbl = {0758.16001},
     language = {en},
     url = {http://www.numdam.org/item/CM_1992__83_3_259_0/}
}
TY  - JOUR
AU  - Smith, S. P.
AU  - Stafford, J. T.
TI  - Regularity of the four dimensional Sklyanin algebra
JO  - Compositio Mathematica
PY  - 1992
SP  - 259
EP  - 289
VL  - 83
IS  - 3
PB  - Kluwer Academic Publishers
UR  - http://www.numdam.org/item/CM_1992__83_3_259_0/
LA  - en
ID  - CM_1992__83_3_259_0
ER  - 
%0 Journal Article
%A Smith, S. P.
%A Stafford, J. T.
%T Regularity of the four dimensional Sklyanin algebra
%J Compositio Mathematica
%D 1992
%P 259-289
%V 83
%N 3
%I Kluwer Academic Publishers
%U http://www.numdam.org/item/CM_1992__83_3_259_0/
%G en
%F CM_1992__83_3_259_0
Smith, S. P.; Stafford, J. T. Regularity of the four dimensional Sklyanin algebra. Compositio Mathematica, Tome 83 (1992) no. 3, pp. 259-289. http://www.numdam.org/item/CM_1992__83_3_259_0/

[An] D.J. Anick, On the homology of associative algebras, Trans. Amer. Math. Soc., 296 (1986), 641-659. | MR | Zbl

[AS] M. Artin and W. Schelter, Graded algebras of global dimension 3, Adv. Math., 66 (1987), 171-216. | MR | Zbl

[ATV1] M. Artin, J. Tate and M. Van Den Bergh, Some algebras associated to automorphisms of elliptic curves, The Grothendieck Festschrift, P. Cartier et al. Editors, Birkhauser (1990). | MR | Zbl

[ATV2] M. Artin, J. Tate and M. Van Den Bergh. Modules over regular algebras of dimension 3, Invent Math. (to appear). | MR | Zbl

[AV] M. Artin and M. Van Den Bergh, Twisted homogeneous coordinate rings, J. Algebra, 133 (1990), 249-271. | MR | Zbl

[Be] G.M. Bergman, The diamond lemma for ring theory, Adv. Math., 29 (1978), 178-218. | MR | Zbl

[Ch] I.V. Cherednik, On R-matrix quantization of formal loop groups (in Russian), in Group-theoretic methods in Physics. Proc. Yurmal Conference, Moscow: Nauka, 1985. | MR | Zbl

[Co] P.M. Cohn, Algebra, Vol. 2, Wiley, London, 1977. | MR | Zbl

[Ha] R. Hartshorne, Algebraic Geometry, Springer-Verlag (1977). | MR | Zbl

[Hu] D. Husemöller, Elliptic Curves, Springer-Verlag (1987). | MR | Zbl

[Ji] M. Jimbo, A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys., 10 (1985), 63-69. | MR | Zbl

[KL] G. Krause and T.H. Lenagan, Growth of Algebras and Gelfand-Kirillov Dimension, Pitman, London, (1985). | MR | Zbl

[Ma1] Yu. I. Manin, Some remarks on Koszul algebras and Quantum groups, Ann. Inst. Fourier, 37 (1987) 191-205. | EuDML | Numdam | MR | Zbl

[Ma2] Yu. I. Manin, Quantum groups and Non-commutative geometry, Les Publ. du Centre de Recherches Math., Université de Montreal, 1988. | MR | Zbl

[MR] J C. McConnell and J.C. Robson, Non-commutative Noetherian Rings, Wiley-Interscience, Chichester, 1987. | MR | Zbl

[Mu1] D. Mumford, Abelian Varieties, Oxford Univ. Press, 1975.

[Mu2] D. Mumford, Varieties defined by quadratic relations, in Questions on Algebraic Varieties, Ed. E. Marchionne, C.I.M.E., III Ciclo, Varenna 1969, Roma 1970. | MR | Zbl

[OF1] A.V. Odesskii and B.L. Feigin, Sklyanin algebras associated with an elliptic curve (in Russian), Preprint (1989). | MR

[OF2] A.V. Odesskii and B.L. Feigin, Elliptic Sklyanin algebras (in Russian), Funk. Anal. Prilozh., 23(3) (1989), 45-54. | MR | Zbl

[Pr] S.B. Priddy, Koszul resolutions, Trans. Amer. Math. Soc., 152 (1970), 39-60. | MR | Zbl

[Ro] J.J. Rotman, An Introduction to Homological Algebra, Academic Press, 1979. | MR | Zbl

[Sk1] E.K. Sklyanin, Some algebraic structures connected to the Yang-Baxter equation, Func. Anal. Appl., 16 (1982), 27-34. | MR | Zbl

[Sk2] E.K. Sklyanin, Some algebraic structures connected to the Yang-Baxter equation. Representations of Quantum algebras, Func. Anal. Appl., 17 (1983), 273-284. | MR | Zbl

[We] H.M. Weber, Lehrbuch der Algebra, Vol. 3, Chelsea Publ. Co., New York (1961).