ABSTRACT

The functor A(·) strikes us as interesting. Thus we will make extensive use of the ideal structure of the semi-prime rtffr ring

A(G) = E(G) = End(G)/N (End(G)).

In fact A(·) becomes more important in this book than HG(·). This is different from the tone of the literature at the time of this writing. We will show that under a certain commutative localization functor Lτ (·) the local isomorphism of groups G and H translates into the isomorphism of right E(G)τ -modules.