Corings over rings with local units

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

We show that the category of corings over a fixed base ring with local units
is equivalent to the category of comonads in (right) unital modules whose
underlying functors preserve inductive limits. Changing base rings, we prove a
bi-equivalence of bicategories. A base ring extension of corings by adjunctions
is also introduced.

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