On the Amitsur property of radicals

• Date: 2018
• Main Authors: Loi, N. V., Wiegandt, R.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Amitsur property; hereditary; normal and generalized nil radical; 16N60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/900
• Journal Title: Algebra and Discrete Mathematics

The Amitsur property of a radical says that the radical of a polynomial ring is again a polynomial ring. A hereditary radical \(\gamma\) has the Amitsur property if and only if its semisimple class is polynomially extensible and satisfies: \(f(x) \in \gamma(A[x])\) implies \(f(0) \in \gamma(A[x])\)....