The paper claims diameter bounds (2 to 3) and girth inequalities for nilpotent graphs of skew PBW extensions over compatible 2-primal rings, but a key supporting theorem is false.
Prime ideals of skew PBW extensions
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abstract
In this paper we describe the prime ideals of some important classes of skew PBW extensions, using the classical technique of extending and contracting ideals. Skew PBW extensions include as particular examples Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials, diffusion algebras, Manin algebra of quantum matrices, among many others.
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Nilpotent graphs over skew PBW extensions
The paper claims diameter bounds (2 to 3) and girth inequalities for nilpotent graphs of skew PBW extensions over compatible 2-primal rings, but a key supporting theorem is false.