Prime radical of Ore extensions over δ -rigid rings
Vernadsky National Library of Ukraine
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Title |
Prime radical of Ore extensions over δ -rigid rings
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Creator |
Bhat, V.K.
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Description |
Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a δ-rigid ring R and that of R[x,σ,δ]. We generalize the result for a Noetherian Q-algebra (Q is the field of rational numbers).
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Date |
2019-06-14T03:41:41Z
2019-06-14T03:41:41Z 2009 |
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Type |
Article
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Identifier |
Prime radical of Ore extensions over δ
-rigid rings / V.K. Bhat // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 14–19. — Бібліогр.: 13 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 16-XX; 16P40,16P50,16U20. http://dspace.nbuv.gov.ua/handle/123456789/153379 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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