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SKEW POWER SERIES EXTENSIONS OF α-RIGID P.P.-RINGS

SKEW POWER SERIES EXTENSIONS OF α-RIGID P.P.-RINGS

We investigate skew power series of <TEX>$\alpha$</TEX>-rigid p.p.-rings, where <TEX>$\alpha$</TEX> is an endomorphism of a ring R which is not assumed to be surjective. For an <TEX>$\alpha$</TEX>-rigid ring R, R[[<TEX>${\chi};{\alpha}$</TEX>]] is right p.p., if and only if R[[<TEX>${\chi},{\chi}^{-1};{\alpha}$</TEX>]] is right p.p., if and only if R is right p.p. and …