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arxiv: 1702.05261 · v1 · pith:G7NMRRGGnew · submitted 2017-02-17 · 🧮 math.RA

Peirce decompositions, idempotents and rings

classification 🧮 math.RA
keywords ringsidempotentspeircetheoryapplicationsclassesclassicalclassifying
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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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