RADICALS OF SKEW POLYNOMIAL AND SKEW LAURENT POLYNOMIAL RINGS OVER SKEW ARMENDARIZ RINGS

摘要

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].