ISOMORPHISM PROBLEM FOR ENDOMORPHISM NEAR-RINGS

Abstract

Most papers written on the subject of the relationship between groups and near-rings are concerned with the structure of those near-rings which are associated in some way with particular groups. The theme of this paper is in the other direction: recapturing information about the group from the near-rings associated with it. So far most of the work has been concerned with one particular case: obtaining information about Inn G from I(G). We also will concern ourselves mainly with this situation, although we will provide a very general framework. In the next section we set up the background. The second section gives a view of the results we used as our starting point. Finally we present our contribution to date.