NEARRING MULTIPLICATIONS ON GROUPS

In this paper, the problem of nontrivial nearring multiplications on g roups is closely investigated with a different approach. By using the notions of S,0-acts and the language of model theory, we give a detail ed discussion on a large class of groups that possesses nontrivial nea rring multiplications. In the last section, we apply our results to th e theory of centralizer nearrings of a single endomorphism which is ma inly due to the work of C. Maxson and K. Smith [28, 29].