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

2004/09/10 by Joost Vercruysse, Vercruysse, Joost · 1 citation
Mathematics · #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.math/0409182

openalex publication_date 2004/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Multiplier algebras and local units

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