2003/04/24 by Christopher J. Pappacena, Pappacena, Christopher J.
Mathematics · #14A22 #16D20 #18A40 #18E15 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.AG #math.QA #msc:14A22 #msc:16D20 #msc:18A40 #msc:18E15
paper · pdf · doi:10.48550/arxiv.math/0304386
52 pages, to appear in Journal of Algebra
arxiv created 2003/04/24 · openalex publication_date 2003/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study Frobenius bimodules between noncommutative spaces (quasi-schemes), developing some of their basic properties. If X and Y are spaces, we study those Frobenius X,Y-bimodules M satisfying properties that are natural in the context of noncommutative algebraic geometry, focusing in particular on cartain "local" conditions on M. As applications, we prove decomposition and gluing theorems for those Frobenius bimodules which have good local properties. Additionally, when X and Y are schemes we relate Frobenius X,Y-bimodules to the sheaf X,Y-bimodules introduced by Van den Bergh.