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On the semiprimitivity of free skew extensions of rings
Published 27 Sep 2019 in math.RA | (1909.12712v3)
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 the ring $R$ is semiprime Goldie, then the free skew extension $R[X;{\mathscr G},{\mathscr D}]$ is semiprimitive.
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