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arXiv · 1702.05261

Peirce decompositions, idempotents and rings

P. N. Anh·G. F. Birkenmeier·L. van Wyk
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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.

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P. N. Anh, G. F. Birkenmeier, L. van Wyk. 2017-02-17. Peirce decompositions, idempotents and rings. https://arxiv.org/abs/1702.05261

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