On NI and NJ skew PBW extensions
Rings and Algebras
2021-06-21 v1 Quantum Algebra
Abstract
We establish necessary or sufficient conditions to guarantee that skew Poincar\'e-Birkhoff-Witt extensions are NI or NJ rings. Our results extend those corresponding for skew polynomial rings and establish similar properties for other families of noncommutative rings such as universal enveloping algebras and examples of differential operators.
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Cite
@article{arxiv.2106.09793,
title = {On NI and NJ skew PBW extensions},
author = {Héctor Suárez and Andrés Chacón and Armando Reyes},
journal= {arXiv preprint arXiv:2106.09793},
year = {2021}
}
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17 pages