Local Units Versus Local Projectivity Dualisations: Corings with Local Structure Maps
Local Units Versus Local Projectivity Dualisations: Corings with Local Structure Maps
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DOI：
10.1080/00927870600549600
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发表时间：
2004-09
影响因子：
0.7
通讯作者：
J. Vercruysse
中科院分区：
文献类型：
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作者：
J. Vercruysse
我们统一并概括了局部单位和局部投影率的不同概念。我们通过从局部射影模构造初等代数来研究这些属性之间的联系。讨论了这些结构的双重版本，导致具有局部共乘的核心、具有局部计数的核心和具有局部乘法的环。
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.