On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity

André Leroy; Jerzy Matczuk

On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity

Rings and Algebras 2010-10-05 v2

Authors: André Leroy , Jerzy Matczuk

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

Keywords

q-series and q-analogues

Cite

@article{arxiv.1003.5405,
  title  = {On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity},
  author = {André Leroy and Jerzy Matczuk},
  journal= {arXiv preprint arXiv:1003.5405},
  year   = {2010}
}

Comments

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

On q-skew Iterated Ore Extensions Satisfying a Polynomial Identity

Abstract

Keywords

Cite

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