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On the semiprimitivity of free skew extensions of rings

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Published in 2020 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2020.106307

Abstract: Let $X$ be a set of noncommuting variables of cardinality $card(X)\geqslant 2$, and ${\mathscr G}=\{\sigma_x\}_{x\in X}$, ${\mathscr D}=\{\delta_x\}_{x\in X}$ be families of automorphisms and skew derivations of the ring $R$. It is proved that if… read more here.

Keywords: skew extensions; skew; extensions rings; mathscr ... See more keywords