On the Amitsur property of radicals

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Authors: Loi, N.V., Wiegandt, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157377
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Amitsur property of radicals / N.V. Loi, R. Wiegandt // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 92–100. — Бібліогр.: 9 назв. — англ.

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