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Semiprime smash products and  -stable prime radicals for PI-algebras |
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| Authors: | V Linchenko S Montgomery |
| Institution: | Yerakhtur, Shilovsky District, Ryazansky Region, Russia 391534 ; Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113 |
| Abstract: | Assume that  is a finite-dimensional Hopf algebra over a field  and that  is an  -module algebra satisfying a polynomial identity (PI). We prove that if  is semisimple and  is  -semiprime, then  is semiprime. If  is cosemisimple, we show that the prime radical of  is  -stable. |
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