On Complemented Radicals

✍ Scribed by K.I. Beidar; Y. Fong; W.-F. Ke

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 318 KB
• Volume: 201
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1997.7254

✦ Synopsis

We obtained an explicit description of complemented radicals in the lattice of all radicals. As an application we obtained an explicit description of radicals whose essential cover is a semisimple class. Finally, we obtained a description of radicals ␣ such that every finitely generated ␣-semisimple ring is a direct sum of simple rings.