On left Goldie near-rings and its parts having minimum conditions (Q1346466)

The authors use right near-rings which are zero-symmetric. A left Goldie near-ring is a near-ring with no infinite independent family of left ideals and having no infinite strictly ascending chain of left annihilators. A number of results about the structure of left Goldie near-rings, generally with added conditions are obtained. The most common extra condition is that the near-ring is strongly semiprime. There are a number of theorems about quotient near-rings. The results are rather too complicated to state here.