On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity

Details On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity

2010-03-28

arxiv.org/abs/1003.5405v2

Mathematics

Rings and Algebras

11 pages Corrected version to appear in Journal of Algebra and its Applications

Scientific paper

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 $R_n=R[x_1;\si_1,\de_1]...[x_n;\si_n;\de_n]$ that the Ore extension $R[x_1;\si_1]...[x_n;\si_n]$ exists and is PI if $R_n$ is PI.

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