A variant of the primitive element theorem for separable extensions of a commutative ring

• Datum: 2018
• Hauptverfasser: Bagio, Dirceu, Paques, Antonio
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: primitive element; separable extension; boolean localization; 13B05; 12F10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/784
• Назва журналу: Algebra and Discrete Mathematics

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.