We extend the notion of finite embedding problems over fields, a central in inverse Galois theory, to situation centrally division rings. first show that solving problem such ring H is equivalent finding solution some center involving polynomial constraint. then every constant split skew field rational fractions H(t) with indeterminate t has solution, if an ample field, thus providing non-commu...

<p style='text-indent:20px;'>We continue our investigation of the parameter space families polynomial skew products. Assuming that base has a Julia set not totally disconnected and is neither Chebyshev nor power map, we prove that, near any bifurcation parameter, one can find parameters where <inline-formula><tex-math id="M1">\begin{document}$ k $\end{document}</tex-math&gt...

In this work the definition of codes as modules over skew polynomial rings of automorphism type is generalized to skew polynomial rings, whose multiplication is defined using an automorphism and a derivation. This produces a more general class of codes which, in some cases, produce better distance bounds than module skew codes constructed only with an automorphism. Extending the approach of Gab...