| Abstract: | Abstract If R is a ring and n is an integer weMaydefine a ring Tn (R) on the same underlying additive abelian group by using the formula a * b = nab to define a new multiplication. Tn , is a functor on the category of associative rings. If C is a class of rings then, for each n, the class Cn , is defined to consist of all rings R such that Tn (R) is in C. If C is a radical class then each class Cn , is also a radical class. We consider the properties of the radical class C which are inherited by Cn , and relationships between these classes C n as n varies. |
