Geodesic
Skew derivations and the nil and prime radicals
Jeffrey Bergen1 ; Piotr Grzeszczuk2
1 Department of Mathematics DePaul University 2320 N. Kenmore Avenue Chicago, IL 60614, U.S.A.
2 Faculty of Computer Science Białystok University of Technology Wiejska 45A 15-351 Białystok, Poland
Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 229-236 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We examine when the nil and prime radicals of an algebra are stable under $q$-skew $\sigma $-derivations. We provide an example which shows that even if $q$ is not a root of $1$ or if $\delta $ and $\sigma $ commute in characteristic $0$, then the nil and prime radicals need not be $\delta $-stable. However, when certain finiteness conditions are placed on $\delta $ or $\sigma $, then the nil and prime radicals are $\delta $-stable.
DOI : 10.4064/cm128-2-8
Keywords: examine nil prime radicals algebra stable under q skew sigma derivations provide example which shows even root nbsp delta sigma commute characteristic nbsp nil prime radicals delta stable however certain finiteness conditions placed delta sigma nil prime radicals delta stable

Jeffrey Bergen 1 ; Piotr Grzeszczuk 2

1 Department of Mathematics DePaul University 2320 N. Kenmore Avenue Chicago, IL 60614, U.S.A.
2 Faculty of Computer Science Białystok University of Technology Wiejska 45A 15-351 Białystok, Poland 
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Jeffrey Bergen; Piotr Grzeszczuk. Skew derivations and the nil and prime radicals. Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 229-236. doi: 10.4064/cm128-2-8

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