Peirce decompositions, idempotents and rings

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.

Cited by in corpus (1)

• Idempotents of $2\times 2$ matrix rings over rings of formal power series