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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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/784 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7842018-04-04T08:43:10Z A variant of the primitive element theorem for separable extensions of a commutative ring Bagio, Dirceu Paques, Antonio primitive element, separable extension, boolean localization 13B05, 12F10 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/784 Algebra and Discrete Mathematics; Vol 8, No 3 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/784/314 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
primitive element separable extension boolean localization 13B05 12F10 |
| spellingShingle |
primitive element separable extension boolean localization 13B05 12F10 Bagio, Dirceu Paques, Antonio A variant of the primitive element theorem for separable extensions of a commutative ring |
| topic_facet |
primitive element separable extension boolean localization 13B05 12F10 |
| format |
Article |
| author |
Bagio, Dirceu Paques, Antonio |
| author_facet |
Bagio, Dirceu Paques, Antonio |
| author_sort |
Bagio, Dirceu |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/784 |
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2024-04-12T06:25:50Z |
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2024-04-12T06:25:50Z |
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1796109211961131008 |