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Peirce decompositions, idempotents and rings

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Author(s):
Anh, Pham N. ; Birkenmeier, Gary F. ; van Wyk, Leon
Total Authors: 3
Document type: Journal article
Source: Journal of Algebra; v. 564, p. 29-pg., 2020-12-15.
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. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 15/07195-7 - Partial actions, Leavitt path algebras and related topics
Grantee:Mikhailo Dokuchaev
Support Opportunities: Research Grants - Visiting Researcher Grant - International