2010/03/28 by André Leroy, Jerzy Matczuk, Leroy, André +1
Computer Science · Mathematics · #16R20 16S36 #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16R20 #msc:16S36
paper · pdf · doi:10.48550/arxiv.1003.5405
11 pages Corrected version to appear in Journal of Algebra and its Applications
openalex publication_date 2010/03/28 · arxiv created 2010/10/02 · arxiv updated 2010/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For iterated Ore extensions satisfying a polynomial identity we present an elementary way of erasing derivations. As a consequence we recover some results obtained by Haynal in "PI degree parity in q-skew polynomial rings" (J. Algebra 319, 2008, 4199-4221). We also prove, under mild assumptions on Rn=R[x1;\si1,\de1]...[xn;\sin;\den] that the Ore extension R[x1;\si1]...[xn;\sin] exists and is PI if Rn is PI.