Minimal left ideals of 2-primitive, zero symmetric nearrings
by
Wendt Gerhard
Johannes Kepler Universitaet Linz

Primitive nearrings play an important role in the structure theory of nearrings, since, similar to ring theory, a nearring is semisimple iff it is isomorphic to a subdirect product of primitive nearrings. In this talk minimal left ideals of 2-primitive, zero symmetric nearrings are studied. We show that, under some weak additional assumptions, every such minimal left ideal is in fact a planar nearring.

Date received: January 29, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-31.