References
- Carvalho, P., Lopes, S., Matczuk, J. (2011). Double Ore extensions versus iterated Ore extensions. Comm. Algebra 39(8):2838–2848.
- Ekström, E. K. (1989). The Auslander Condition on Graded and Filltered Noetherian Rings. Séminaire Dubreil-Malliavin 1987–88. Lecture Notes in Mathematics, Vol. 1404. Berlin, Heidelberg: Springer Verlag, pp. 220–245.
- Goodearl, K. R., Warfield, R. B. (2004). An Introduction to Noncommutative Noetherian Rings, 2nd ed. London Mathematical Society Student Text, Vol. 61. Cambridge: Cambridge University Press.
- Huebschmann, J. (1990). Poisson cohomology and quantization. J. Reine Angew. Math. 408:57–113.
- Lambre, T., Ospel, C., Vanhaecke, P. (2017). Poisson enveloping algebras and the Poincare-Birkhoff-Witt theorem. J. Algebra 485:166–198.
- Li, H.-S., van Oystaeyen, F. (1996). Zariskian Filtrations. K-Monographs in Mathematics, Vol. 2. Dordrecht: Kluwer Academic Publishers.
- Lou, Q., Oh, S.-Q., Wang, S.-Q. Double Poisson extensions. Sci. China Math. preprint arXiv:1606.02410.
- Lü, J.-F., Wang, X., Zhuang, G.-B. (2015). Universal enveloping algebras of Poisson Hopf algebras. J. Algebra 426:92–136.
- Lü, J.-F., Wang, X., Zhuang, G.-B. (2015). Universal enveloping algebras of Poisson Ore extensions. Proc. Am. Math. Soc. 143(11):4633–4645.
- Majid, S. (1995). Foundations of Quantum Group Theory. Cambridge: Cambridge University Press.
- McConnell, J. C., Robson, J. C. (1987). Noncommutative Noetherian Rings. Pure & Applied Mathematics, A Wiley-Interscience Series of Texts, Monographs & Tracts. New York: Wiley Interscience.
- Oh, S.-Q. (1999). Poisson enveloping algebras. Comm. Algebra 27:2181–2186.
- Oh, S.-Q. (2006). Poisson polynomial rings. Comm. Algebra 34:1265–1277.
- Oh, S.-Q., Park, C.-G., Shin, Y.-Y. (2002). A Poincaré-Birkhoff-Witt theorem for Poisson enveloping algebras. Comm. Algebra 30(10):4867–4887.
- Umirbaev, U. (2012). Universal enveloping algebras and universal derivations of Poisson algebras. J. Algebra 354:77–94.
- Zhang, J. J., Zhang, J. (2008). Double Ore extensions. J. Pure Appl. Algebra 212(12):2668–2690.
- Zhu, C., Van Oystaeyen, F., Zhang, Y. (2017). Nakayama automorphisms of double Ore extensions of Koszul regular algebras. Manuscr. Math. 152(3–4):555–584.