Some remarks about minimal prime ideals of~skew Poincar\'e-Birkhoff-Witt extensions
Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 207-229
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In this paper, we characterize the minimal prime ideals of skew PBW extensions over several classes of rings. We unify different results established in the literature for Ore extensions, and extend all of them to a several families of noncommutative rings of polynomial type which cannot be expressed as these extensions.
Keywords:
minimal prime ideal, 2-primal ring, skew PBW extension.
@article{ADM_2020_30_2_a4,
author = {A. Ni\~no and A. Reyes},
title = {Some remarks about minimal prime ideals of~skew {Poincar\'e-Birkhoff-Witt} extensions},
journal = {Algebra and discrete mathematics},
pages = {207--229},
publisher = {mathdoc},
volume = {30},
number = {2},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a4/}
}
TY - JOUR AU - A. Niño AU - A. Reyes TI - Some remarks about minimal prime ideals of~skew Poincar\'e-Birkhoff-Witt extensions JO - Algebra and discrete mathematics PY - 2020 SP - 207 EP - 229 VL - 30 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a4/ LA - en ID - ADM_2020_30_2_a4 ER -
A. Niño; A. Reyes. Some remarks about minimal prime ideals of~skew Poincar\'e-Birkhoff-Witt extensions. Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 207-229. http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a4/