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Prime ideals of skew PBW extensions

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arxiv 1402.2321 v1 pith:3DZKTSVG submitted 2014-02-10 math.RA

Oswaldo Lezama , Juan Pablo Acosta , Milton Armando Reyes Villamil This is my paper · ORCID
classification math.RA
keywords algebrasextensionsidealsskewprimequantumalgebraartamonov
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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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  1. Nilpotent graphs over skew PBW extensions

    math.RA 2025-05 reject novelty 4.0 of 10

    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.

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