Burchnall-Chaundy theory for skew Poincar\'e-Birkhoff-Witt extensions
Quantum Algebra
2018-05-30 v1
Abstract
In this paper we review some classical results on the algebraic dependence of commuting elements in several noncommutative algebras as differential operator rings and Ore extensions. Then we extend all these results to a more general setting, the family of noncommutative rings known as skew Poincar\'e-Birkhoff-Witt extensions.
Keywords
Cite
@article{arxiv.1805.11448,
title = {Burchnall-Chaundy theory for skew Poincar\'e-Birkhoff-Witt extensions},
author = {Armando Reyes and Héctor Suárez},
journal= {arXiv preprint arXiv:1805.11448},
year = {2018}
}
Comments
10 pages, Far East J. Math. Sci. (FJMS) (2018). arXiv admin note: text overlap with arXiv:1309.4415 by other authors