There isn’t much duality in radical theory

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Author: Gardner, B.J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152372
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: There isn’t much duality in radical theory / B. J. Gardner // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 59–66. — Бібліогр.: 20 назв. — англ.

The definitions of radical and semi-simple classes are in a natural sense dual to each other. However, statements dual in the same sense to theorems of radical theory tend to be false. Some insights may nevertheless be gained from consideration of duality, and we illustrate this with a link between...