Rings involving idempotents, units and nilpotent elements

Published 1 Nov 2014 in math.RA | (1411.0119v1)

Abstract: We define the concepts of weakly precious and precious rings which generalize the notions of weakly clean and nil-clean rings. We obtain some fundamental properties of these rings. We also obtain certain subclasses of such rings and then offer new kinds of weakly clean rings and nil-clean rings.

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