2002/07/23 by L. El Kaoutit, Laiachi El Kaoutit, Kaoutit, L. El +3
Mathematics · #16 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16
paper · pdf · doi:10.48550/arxiv.math/0207205
19 pages
arxiv created 2002/07/23 · openalex publication_date 2002/07/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In order to extrincate the structure of corings with a finitely generated and projective generator we give the notion of a comatrix coring. As consequences we give generalizations of the main characterizations of faithfully flat Galois corings and extensions which work for corings without grouplike elements, as well as a generalization of the Descent Theorem. We provide also a complete description of all cosemisimple corings. No restrictions are made over the ground noncommutative ring.