2017/02/17 by Anh, P. N., Birkenmeier, G. F., van Wyk, L.
#15A33 #16D20 #16D70 #16S50 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1702.05261
Idempotents dominate the structure theory of rings. The Peirce decomposition induced by an idempotent provides a natural environment for defining and classifying new types of rings. This point of view offers a way to unify and to expand the classical theory of semiperfect rings and idempotents to much larger classes of rings. Examples and applications are included.