Near-Rings and Near-Fields pp 31-43 | Cite as

# Endomorphism Near-Rings Through the Ages

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## Abstract

For some 35 years problems concerning morphism near-rings have been studied. In this paper, three areas of such investigation are surveyed, and significant unsolved or partially solved problems from each area are discussed. The first area is centered about the question as to whether an arbitrary distributively generated near-ring can be embedded in some *E(G)*. The motivating problem of the second area is the determination of the groups *G* such that *E(G)* is a ring. The third area is typified by the problem of finding the groups G such that *I(G)* = *E(G)*. The first two areas seem to lie fallow at the moment; the third area is one of current investigation.

## Keywords

Left Identity Dihedral Group Endomorphism Ring Quaternion Group Nonabelian Group## Preview

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