2006/07/03 by José Gómez-Torrecillas, J. Gómez-Torrecillas, Gómez-Torrecillas, J.
Mathematics · #Algebraic structures and combinatorial models #Category Theory (math.CT) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.CT #math.RA
paper · pdf · doi:10.48550/arxiv.math/0607043
English version (not just a translation) of the spanish paper arXiv:math.CT/0603348 v2. Purely categorical part has been simplified. Further applications to Galois corings and comodules have been included
arxiv created 2006/07/03 · openalex publication_date 2006/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate which aspects of recent developments on Galois corings and comodules admit a formulation in terms of comonads. This approach hopefully will permit of focusing in what is specific in each particular future situation, having some relevant general results for granted. The general theory is applied to the study of comodules over corings over firm rings.