POLARITIES FOR NEARRINGS

摘要

We show that the left and right polar sets of a nearringNform complete bounded latticesPR(N)andPL(N).We consider properties ofPL(N)and its elements, which are ideals, whenNis 3-semiprime. If in additionNis zero-symmetric we strengthen these results and use them to describe a class in which 3-semiprime nearrings are strongly 3-semiprime.