A variant of the primitive element theorem for separable extensions of a commutative ring
In this article we show that any strongly separable extension of a commutative ring R can be embedded into another one having primitive element whenever every boolean localization of R modulo its Jacobson radical is von Neumann regular and locally uniform.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154618 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A variant of the primitive element theorem for separable extensions of a commutative ring / D. Bagio, A. Paques // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 20–26. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Bagio, D. Paques, A. 2019-06-15T16:54:07Z 2019-06-15T16:54:07Z 2009 A variant of the primitive element theorem for separable extensions of a commutative ring / D. Bagio, A. Paques // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 20–26. — Бібліогр.: 12 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:13B05, 12F10 https://nasplib.isofts.kiev.ua/handle/123456789/154618 In this article we show that any strongly separable extension of a commutative ring R can be embedded into another one having primitive element whenever every boolean localization of R modulo its Jacobson radical is von Neumann regular and locally uniform. This paper was partially supported by CAPES (Brazil) en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A variant of the primitive element theorem for separable extensions of a commutative ring Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A variant of the primitive element theorem for separable extensions of a commutative ring |
| spellingShingle |
A variant of the primitive element theorem for separable extensions of a commutative ring Bagio, D. Paques, A. |
| title_short |
A variant of the primitive element theorem for separable extensions of a commutative ring |
| title_full |
A variant of the primitive element theorem for separable extensions of a commutative ring |
| title_fullStr |
A variant of the primitive element theorem for separable extensions of a commutative ring |
| title_full_unstemmed |
A variant of the primitive element theorem for separable extensions of a commutative ring |
| title_sort |
variant of the primitive element theorem for separable extensions of a commutative ring |
| author |
Bagio, D. Paques, A. |
| author_facet |
Bagio, D. Paques, A. |
| publishDate |
2009 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this article we show that any strongly separable extension of a commutative ring R can be embedded into another one having primitive element whenever every boolean localization of R modulo its Jacobson radical is von Neumann regular and locally uniform.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154618 |
| citation_txt |
A variant of the primitive element theorem for separable extensions of a commutative ring / D. Bagio, A. Paques // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 20–26. — Бібліогр.: 12 назв. — англ. |
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| first_indexed |
2025-12-07T21:00:34Z |
| last_indexed |
2025-12-07T21:00:34Z |
| _version_ |
1850884734977048576 |