Partial Skew Polynomial Rings and Goldie Rings

摘要

We prove that if R is a semiprime ring and α is a partial action of an infinite cyclic group on R, then R is right Goldie if and only if R[x; α] is right Goldie if and only if Rx; α is right Goldie, where R[x; α] (Rx; α) denotes the partial skew (Laurent) polynomial ring over R. In addition, Rx; α is semiprime while R[x; α] is not necessarily semiprime.View full textDownload full textKey WordsGoldie rings, Partial action, Semiprime rings2000 Mathematics Subject ClassificationPrimary 16S36, Secondary 16P60Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802107645