SUMS OF UNITS IN SOME CLASSES OF NEAT RINGS

A ring R is said to be clean if every element of R is a sum of an idempotent and a unit. A ring R is a neat ring if every nontrivial homomorphic image is clean. In this paper, first, it is proved that every element of some classes of neat rings is n-tupletgood if no factor ring of such rings isomorphic to a field of order less than n + 2. Also by considering the structure of FGC rings, it can be proved that some clasess of FGC rings are n-tuplet-good.