<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...

Abstract Let D be a finite-dimensional division algebra over its center and R = [ t ; ? , ? ] skew polynomial ring. Under certain assumptions on the ring of central quotients ( ) { f / g | ? ], C ])} is simple with reduced norm N . We calculate for some polynomials investigate when how reducibility reflects

In this survey paper we define partial actions of groups on algebras and give several related results. For any partial action a partial skew group ring is defined. This partial skew group ring is not always associative. Conditions under which associativity holds are studied. Several other questions are considered like, for example, enveloping actions and properties of partial skew group rings.