Radicals of Skew Polynomial and Skew Laurent Polynomial Rings Over Skew Armendariz Rings |
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| Authors: | A R Nasr-Isfahani |
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| Institution: | 1. Department of Mathematics , University of Isfahan , Isfahan , Iranand School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Irana_nasr_isfahani@yahoo.com |
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| Abstract: | In this note we study radicals of skew polynomial ring Rx; α] and skew Laurent polynomial ring Rx, x ?1; α], for a skew-Armendariz ring R. In particular, among the other results, we show that for an skew-Armendariz ring R, J(Rx; α]) = N 0(Rx; α]) = Ni?*(R)x; α] and J(Rx, x ?1; α]) = N 0(Rx, x ?1; α]) = Ni?*(R)x, x ?1; α]. |
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| Keywords: | Armendariz ring Jacobson radical Prime radical Skew Laurent polynomial rings Skew polynomial rings |
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