SUMS OF UNITS IN SOME CLASSES OF NEAT RINGS | ||
| Journal of Algebraic Systems | ||
| دوره 10، شماره 1، آذر 2022، صفحه 147-153 اصل مقاله (126.49 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.10905.1536 | ||
| نویسنده | ||
| N. Pouyan* | ||
| Department of Mechanical Engineering, University of Shohadaye Hoveizeh Campus of Technology, Shahid Chamran University of Ahvaz, P.O. Box 64418-78986, Susangerd, Iran. | ||
| چکیده | ||
| 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-tuplet-good 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. | ||
| کلیدواژهها | ||
| unit sum number؛ n-tuplet-good؛ neat ring؛ FGC ring | ||
| مراجع | ||
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