2014/12/03 by Zhe Han, Han, Zhe
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1412.1159
8 pages. Comments are welcome
openalex publication_date 2014/12/03 · arxiv created 2014/12/04 · arxiv updated 2014/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the homotopy category of injective A-modules is generically trivial if and only if the derived category of all modules is generically trivial for an algebra A. Moreover we show some connections between the generic objects, locally finiteness and Krull-Gabriel dimension.