Local units versus local projectivity. Dualisations: Corings with local structure maps

Details Local units versus local projectivity. Dualisations: Corings with local structure maps Local units versus local projectivity. Dualisations: Corings with local structure maps

2004-09-10

arxiv.org/abs/math/0409182v2

Mathematics

Rings and Algebras

22 pages, including a correction to Proposition 1.1

Scientific paper

We unify and generalize different notions of local units and local projectivity. We investigate the connection between these properties by constructing elementary algebras from locally projective modules. Dual versions of these constructions are discussed, leading to corings with local comultiplications, corings with local counits and rings with local multiplications.

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