2025/09/11 by Herrera, Karol, Higuera, Sebastián, Rubiano, Andrés
#16D25 #16S30 #16S32 #16S36 #16S38 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2509.09220
We investigate the annihilator condition (a.c.) for skew Poincaré-Birkhoff-Witt extensions. We prove that some results about the annihilator condition (a.c.) for skew polynomial rings also hold for skew PBW extensions. We also demonstrate that the behavior of annihilators is determined by the defining relations of the extension. Our results extend those corresponding presented for skew polynomial rings