SUMS OF UNITS IN SOME CLASSES OF NEAT RINGS
نویسندگان
1 Department of Mechanical Engineering, University of Shohadaye Hoveizeh Campus of Technology, Shahid Chamran University of Ahvaz, P.O. Box 64418-78986, Susangerd, Iran.
doi
10.22044/jas.2021.10905.1536چکیده
A ring R is said to be clean if every element of R is a sumof an idempotent and a unit. A ring R is a neat ring if every nontrivialhomomorphic image is clean. In this paper, first, it is proved that everyelement of some classes of neat rings is n-tuplet-good if no factor ringof such rings isomorphic to a field of order less than n + 2. Also by consideringthe structure of FGC rings, it can be proved that some clasess of FGCrings are n-tuplet-good.
