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Center of skew PBW extensions

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arxiv 1804.05425 v4 pith:PLT65URF submitted 2018-04-15 math.RA

José Oswaldo Lezama Serrano , Helbert Javier Venegas Ramírez This is my paper · ORCID
classification math.RA
keywords centeralgebrasextensionsnoncommutativeskewapplicationassumptionscancellative
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abstract

In this paper we compute the center of many noncommutative algebras that can be interpreted as skew $PBW$ extensions. We show that, under some natural assumptions on the parameters that define the extension, either the center is trivial, or, it is of polynomial type. As an application, we provided new examples of noncommutative algebras that are cancellative.

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  1. Some open problems in the context of skew PBW extensions and semi-graded rings

    math.RA 2019-08 conditional novelty 5.0 of 10

    A Serre-type category equivalence is claimed for semi-graded rings under a noetherian and underexplained X1 condition, and a degenerate class of semi-graded Artin-Schelter algebras is identified.

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