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 Skew Laurent polynomial extensions of Baer and p.p.-rings Bull. Korean Math. Soc. 2009 Vol. 46, No. 6, 1041-1050 https://doi.org/10.4134/BKMS.2009.46.6.1041Published online November 1, 2009 Alireza R. Nasr-Isfahani and Ahmad Moussavi Tarbiat Modares University and Tarbiat Modares University Abstract : Let $R$ be a ring and $\alpha$ a monomorphism of $R$. We study the skew Laurent polynomial rings $R[x,x^{-1};\alpha]$ over an $\alpha$-skew Armendariz ring $R$. We show that, if $R$ is an $\alpha$-skew Armendariz ring, then $R$ is a Baer (resp. p.p.-)ring if and only if $R[x,x^{-1};\alpha]$ is a Baer (resp. p.p.-)ring. Consequently, if $R$ is an Armendariz ring, then $R$ is a Baer (resp. p.p.-)ring if and only if $R[x,x^{-1}]$ is a Baer (resp. p.p.-)ring. Keywords : skew Laurent polynomial rings, Baer rings, p.p.-rings, $\alpha$-rigid rings, skew-Armendariz rings MSC numbers : 16S34, 16S36 Downloads: Full-text PDF