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

Title & Authors
SKEW POWER SERIES EXTENSIONS OF α-RIGID P.P.-RINGS
Hashemi, Ebrahim; Moussavi, Ahmad;

Abstract
We investigate skew power series of $\small{\alpha}$-rigid p.p.-rings, where $\small{\alpha}$ is an endomorphism of a ring R which is not assumed to be surjective. For an $\small{\alpha}$-rigid ring R, R[[$\small{{\chi};{\alpha}}$]] is right p.p., if and only if R[[$\small{{\chi},{\chi}^{-1};{\alpha}}$]] is right p.p., if and only if R is right p.p. and any countable family of idempotents in R has a join in I(R).
Keywords
Baer rings;right p.p.-rings;$\small{\alpha}$-rigid rings;skew power eries;Ore extensions;
Language
English
Cited by
1.
ON ANNIHILATOR IDEALS OF A NEARRING OF SKEW POLYNOMIALS OVER A RING,;

대한수학회지, 2007. vol.44. 6, pp.1267-1279
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