$PBW$-deformations of graded rings

Abstract

We prove in a very general framework several versions of the classical Poincaré-Birkhoff-Witt Theorem, which extend results from [BeGi, BrGa, CS, HvOZ, WW]. Applications and examples are discussed in the last part of the paper.

References in corpus (2)

• Nonhomogeneous quadratic duality and curvature
• Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras

Cited by in corpus (1)

• PBW-deformations of smash products involving Hopf algebra of Kac-Paljutkin type