Abstract
We investigate when radicals $\mathfrak {F}$ satisfy Amit\-sur's property on skew polynomials of derivation type, namely, $\mathfrak {F}(R[x;\delta ])=(\mathfrak {F}(R[x;\delta ])\cap R)[x;\delta ].$ In particular, we give a new argument that the Brown-McCoy radical has this property. We also give a new characterization of the prime radical of $R[x;\delta ]$.
Citation
Chan Yong Hong. Nam Kyun Kim. Yang Lee. Pace P. Nielsen. "Amitsur's property for skew polynomials of derivation type." Rocky Mountain J. Math. 47 (7) 2197 - 2218, 2017. https://doi.org/10.1216/RMJ-2017-47-7-2197
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