Mathematics
J. L. Serrano, Helbert Javier Venegas Ram'irez
tlooto Summary
Center of skew PBW extensions for noncommutative algebras is either trivial or polynomial type under natural assumptions.
Abstract
In this paper we compute the center of many noncommutative algebras that can be interpreted as skew [Formula: see text] 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.
Citation format
SERRANO, J. L.; RAM'IREZ, Helbert Javier Venegas. Center of skew PBW extensions [preprint]. arXiv, 2018. arXiv:1804.05425.