Geodesic
Prime radical of Ore extensions over $\delta$-rigid rings
Algebra and discrete mathematics, no. 1 (2009), pp. 14-19.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let R be a ring. Let $\sigma$ be an automorphism of R and $\delta$ be a $\sigma$-derivation of R. We say that R is a $\delta$-rigid ring if $a\delta(a)\in P(R)$ implies $a\in P(R)$, $a\in R$; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a $\delta$-rigid ring R and that of $R[x,\sigma,\delta]$. We generalize the result for a Noetherian Q-algebra (Q is the field of rational numbers).
Keywords: Radical, derivation, completely prime, $\delta$-ring, Q-algebra.
Mots-clés : automorphism 
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     author = {V. K. Bhat},
     title = {Prime radical of {Ore} extensions over $\delta$-rigid rings},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2009_1_a2/}
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V. K. Bhat. Prime radical of Ore extensions over $\delta$-rigid rings. Algebra and discrete mathematics, no. 1 (2009), pp. 14-19. http://geodesic.mathdoc.fr/item/ADM_2009_1_a2/