Distributor and j2-radical ideals of generalized centralizer near-rings

This work originated as part of the author's doctoral dissertation at Texas A&M University

Abstract

In 1980, Maxson and Smith [1] determined the J₂-radical ideal for the ceiitralizer near-ring M_A(G), where A is a group of automorphisms over a group G. Further, in 1985, Smith [4] generalized MA(G) to the class of generalized ceiitralizer near-rings. In this paper we determine both the J₂-radical and the distributor ideals for the class of generalized ceiitralizer near-rings. We further push these results to determine all the homomorphie images of generalized ceiitralizer near-rings.

1990 Mathematics Classification Number:

• 16Y30

This work originated as part of the author's doctoral dissertation at Texas A&M University

This work originated as part of the author's doctoral dissertation at Texas A&M University

Notes

This work originated as part of the author's doctoral dissertation at Texas A&M University