English

Center of skew PBW extensions

Rings and Algebras 2018-07-18 v4

Abstract

In this paper we compute the center of many noncommutative algebras that can be interpreted as skew PBWPBW 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.

Keywords

Cite

@article{arxiv.1804.05425,
  title  = {Center of skew PBW extensions},
  author = {José Oswaldo Lezama Serrano and Helbert Javier Venegas Ramírez},
  journal= {arXiv preprint arXiv:1804.05425},
  year   = {2018}
}