Radicals Coinciding with the Von Neumann Regular Radical on Artinian Rings.
Radicals induced by the total of rings.
Radicals of semigroup rings of commutative semigroups.
Radicals which coincide on a class of rings.
Radicals which define factorization systems
A method due to Fay and Walls for associating a factorization system with a radical is examined for associative rings. It is shown that a factorization system results if and only if the radical is strict and supernilpotent. For groups and non-associative rings, no radical defines a factorization system.
Rad-supplemented modules