On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity
Abstract
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;1,1]...[xn;n;n] that the Ore extension R[x1;1]...[xn;n] exists and is PI if Rn is PI.
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