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dc.contributor.author |
Bhat, V.K. |
|
dc.date.accessioned |
2019-06-16T05:49:02Z |
|
dc.date.available |
2019-06-16T05:49:02Z |
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dc.date.issued |
2011 |
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dc.identifier.citation |
On Pseudo-valuation rings and their extensions / V.K. Bhat // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 25–30. — Бібліогр.: 14 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
|
dc.identifier.other |
2000 Mathematics Subject Classification:16S36, 16N40, 16P40, 16S32 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/154862 |
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dc.description.abstract |
Let R be a commutative Noetherian Q-algebra (Q
is the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. We define a δ-divided ring and prove the following:
(1)If R is a pseudo-valuation ring such that x∉P for any prime ideal P of R[x;σ,δ], and P∩R is a prime ideal of R with σ(P∩R)=P∩R and δ(P∩R)⊆P∩R, then R[x;σ,δ] is also a pseudo-valuation ring.
(2)If R is a δ-divided ring such that x∉P for any prime ideal P of R[x;σ,δ], and P∩R is a prime ideal of R with σ(P∩R)=P∩R and δ(P∩R)⊆P∩R, then R[x;σ,δ] is also a δ-divided ring. |
uk_UA |
dc.description.sponsorship |
The author would like to express his sincere thanks to the referee for his suggestions |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
On Pseudo-valuation rings and their extensions |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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