Peirce decompositions, idempotents and rings
Rings and Algebras
2017-02-20 v1
Abstract
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.
Cite
@article{arxiv.1702.05261,
title = {Peirce decompositions, idempotents and rings},
author = {P. N. Anh and G. F. Birkenmeier and L. van Wyk},
journal= {arXiv preprint arXiv:1702.05261},
year = {2017}
}