Mathematics – Rings and Algebras
Scientific paper
2009-09-14
Mathematics
Rings and Algebras
Scientific paper
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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