References
- Berger, R., Ginzburg, V. (2006). Higher symplectic reflection algebras and nonhomogeneous N-Koszul property. J. Alg. 1(304):577–601. DOI: 10.1016/j.jalgebra.2006.03.011.
- Drinfeld, V. G. (1985). Hopf algebras and the quantum Yang-Baxter equation. Doklady Akademii Nauk SSSR. 283(5):1060–1064.
- Jimbo, M. (1985). A q-difference analogue of U(G) and the Yang-Baxter equation. Lett. Math. Phys. 10(1):63–69.
- Krause, G. R., Lenagan, T. H. (1991). Growth of Algebras and Gelfand-Kirillov Dimension. Providence, RI: Graduate Studies in Mathematics, American Mathematical Society.
- Kandri-Rody, Q., Weispfenning, V. (1990, 1988). Non-commutative Gröbner bases in algebras of solvable type. J. Symbolic Comput. 9:1–26. Also available as: Technical Report University of Passau, MIP-8807. DOI: 10.1016/S0747-7171(08)80003-X.
- Levasseur, T. (1992). Some properties of noncommutative regular graded rings. Glasgow Math. J. 34:277–300. DOI: 10.1017/S0017089500008843.
- Li, H. (2002). Noncommutative Gröbner Bases and Filtered-graded Transfer. Lecture Notes in Mathematics, Vol. 1795. Berlin, Heidelberg: Springer-Verlag.
- Li, H. (2009). Γ-leading homogeneous algebras and Gröbner bases. In: Li, F., Dong, C., eds. Recent Developments in Algebra and Related Areas, Advanced Lectures in Mathematics, Vol. 8, Boston-Beijing: International Press & Higher Education Press, pp. 155 – 200. arXiv:math.RA/0609583, http://arXiv.org
- Li, H. (2011). Gröbner Bases in Ring Theory. Hackensack, NJ: World Scientific Publishing Co., Inc. DOI: 10.1142/8223.
- Li, H. (2014). A note on solvable polynomial algebras. Comput. Sci. J. Moldova. 22(64):99–109. arXiv:1212.5988 [math.RA]
- Li, H. (2018). An elimination lemma for algebras with PBW bases. Commun. Algebra. 46(8):3520–3532. DOI: 10.1080/00927872.2018.1424863.
- Li, H. (2021). Noncommutative Polynomial Algebras of Solvable Type and Their Modules: Basic Constructive-Computational Theory and Methods. Boca Raton, London, New York: Chapman and Hall/CRC Press.
- Li, H., Van Oystaeyen, F. (1996, 2003). Zariskian Filtrations. K-Monograph in Mathematics, Vol. 2. Berlin, Heidelberg: Kluwer Academic Publishers, Springer-Verlag.
- Levandovskyy, V., Schönemann, H. (2003). Plural: a computer algebra system for noncommutative polynomial algebras. In: Proc. Symbolic and Algebraic Computation, International Symposium ISSAC 2003, Philadelphia, USA, 176C183.
- Mora, T. (1994). An introduction to commutative and noncommutative Gröbner bases. Theoret. Comput. Sci. 134:131–173. DOI: 10.1016/0304-3975(94)90283-6.
- Positselski, L. (1993). Nonhomogeneous quadratic duality and curvature. Funct. Anal. Appl. 3(27):197–204.
- Rosso, M. (1988). Finite dimensional representations of the quantum analogue of the enveloping algebra of a complex simple Lie algebra. Comm. Math. Phys. 117:581–593. DOI: 10.1007/BF01218386.
- Yamane, I. (1989). A Poincare-Birkhoff-Witt theorem for quantized universal enveloping algebras of type AN. Publ. RIMS. Kyoto Univ. 25(3):503–520. DOI: 10.2977/prims/1195173355.