Semisimple crossed products of groups and rings |
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| Authors: | SV Mihovski ZM Dimitrova |
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| Institution: | Department of Mathematics , University of Plovdiv , Plovdiv, Bulgaria, 4000 |
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| Abstract: | Let K?G be a crossed product of a multiplicative group G over an associative ring K with 1 and let C(G) be the center of G. If K has no C(G)-invariant ideals, then the Jacobson radical of the center of K?G is a nil ideal. In addition, if G is a ZA-group, then K?G is semisimple if and only if K?G has no central nilpotent elements. |
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