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arxiv: 0909.2522 · v1 · submitted 2009-09-14 · 🧮 math.RA

(non)commutative f-un geometry

classification 🧮 math.RA
keywords commutativeaffineallowsappearancecaseclarifiescoalgebrascompletions
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Stressing the role of dual coalgebras, we modify the definition of affine schemes over the 'field with one element'. This clarifies the appearance of Habiro-type rings in the commutative case, and, allows a natural noncommutative generalization, the study of representations of discrete groups and their profinite completions being our main motivation.

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