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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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/784 |
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| Journal Title: | Algebra and Discrete Mathematics |