2005/05/23 by M. Zarouali-Darkaoui, Mohssin Zarouali-Darkaoui, Zarouali-Darkaoui, M.
Mathematics · #13C05 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.RA #msc:13C05
paper · pdf · doi:10.48550/arxiv.math/0505478
openalex publication_date 2005/05/23 · arxiv created 2005/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate adjoint and Frobenius pairs between categories of comodules over rather general corings. We particularize to the case of the adjoint pair of functors associated to a morphism of corings over different base rings, which leads to a reasonable notion of Frobenius coring extension. When applied to corings stemming from entwining structures, we obtain new results in this setting and in graded ring theory.