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

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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.
22 pages, including a correction to Proposition 1.1

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Rings and Algebras, Quantum Algebra, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/100861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409182
 http://arxiv.org/abs/math/0409182

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arXiv