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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Affiliation: | 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 R[x; α] and skew Laurent polynomial ring R[x, 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(R[x; α]) = N 0(R[x; α]) = Ni?*(R)[x; α] and J(R[x, x ?1; α]) = N 0(R[x, 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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