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 SM ISO690:2012BHAT, Vijay-Kumar. On 2-primal Ore extensions over Noetherian σ(*)-rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 1(65), pp. 42-49. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 1(65) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 42-49 | ||||||
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| Rezumat | ||||||
In this article, we discuss the prime radical of skew polynomial rings over
Noetherian rings. We recall ¾(¤) property on a ring R (i. e. a¾(a) 2 P(R) implies
a 2 P(R) for a 2 R, where P(R) is the prime radical of R, and ¾ an automorphism of R). Let now ± be a ¾-derivation of R such that ±(¾(a)) = ¾(±(a)) for all a 2 R. Then we show that for a Noetherian ¾(¤)-ring, which is also an algebra over Q, the Ore extension R[x; ¾; ±] is 2-primal Noetherian (i. e. the nil radical and the prime radical of R[x; ¾; ±] coincide) |
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| Cuvinte-cheie minimal prime, 2-primal, prime radical, automorphism, derivation |
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