Local units versus local projectivity. Dualisations: Corings with local structure maps
环与代数
2007-05-23 v2 量子代数
摘要
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.
引用
@article{arxiv.math/0409182,
title = {Local units versus local projectivity. Dualisations: Corings with local structure maps},
author = {Joost Vercruysse},
journal= {arXiv preprint arXiv:math/0409182},
year = {2007}
}
备注
22 pages, including a correction to Proposition 1.1