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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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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2009
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154618 |
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irk-123456789-1546182019-06-16T01:27:50Z A variant of the primitive element theorem for separable extensions of a commutative ring Bagio, D. Paques, A. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/154618 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Bagio, D. Paques, A. |
| spellingShingle |
Bagio, D. Paques, A. A variant of the primitive element theorem for separable extensions of a commutative ring Algebra and Discrete Mathematics |
| author_facet |
Bagio, D. Paques, A. |
| author_sort |
Bagio, D. |
| title |
A variant of the primitive element theorem for separable extensions of a commutative ring |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bagiod avariantoftheprimitiveelementtheoremforseparableextensionsofacommutativering AT paquesa avariantoftheprimitiveelementtheoremforseparableextensionsofacommutativering AT bagiod variantoftheprimitiveelementtheoremforseparableextensionsofacommutativering AT paquesa variantoftheprimitiveelementtheoremforseparableextensionsofacommutativering |
| first_indexed |
2023-05-20T17:44:43Z |
| last_indexed |
2023-05-20T17:44:43Z |
| _version_ |
1796153990109462528 |