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R. Mlitz:
"On radicals by prime radicals";
Talk: 21st International Conference on Nearrings, nearfields and related topics Vorau (Austria), Vorau; 2009-07-26 - 2009-08-01.

In 1989, K.Beidar has shown that in many varieties of algebras over a commutative ring with identity every Kurosh-Amitsur radical defined as intersection of prime ideals has a hereditary radical class and is consequently a special radical. He fully described the regular classes of prime algebras determining an upper radical of that type. We discuss the possibility of extension of these results to nearrings

nearring, radical, prime

http://www.algebra.uni-linz.ac.at/Nearrings/2009Vorau/index.html