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oai:riuma.uma.es:10630/271092026-02-03T11:26:26Zcom_10630_2254col_10630_37953

Well Generatedness and Adjoints for Homotopy Categories of N-complexes Cortés-Izurdiaga, Manuel Torrecillas, Blas Homotopía Let R be a ring and N ≥ 2. First, we prove that any deconstructible class of modules F over R induces two coreflective subcategories of the homotopy category KN (Mod−R) of (unbounded) N -complexes of right R-modules: the one whose objects are all N - complexes with components in F, KN (F), and the one whose objects are the N - acyclic complexes with components in F, AN (F). Second, we prove that for any decomposable class of modules G, the homotopy category of N -complexes, KN (G), is well generated. In particular, the homotopy category of N -complexes of projective modules is ℵ1 -generated, which extends the well known result of Neeman for N = 2. 2023-06-28T11:33:48Z 2023-06-28T11:33:48Z 2023 journal article Cortés-Izurdiaga, M., Torrecillas, B. Well Generatedness and Adjoints for Homotopy Categories of N-complexes. Bull. Malays. Math. Sci. Soc. 46, 146 (2023). https://doi.org/10.1007/s40840-023-01537-8 https://hdl.handle.net/10630/27109 https://doi.org/10.1007/s40840-023-01537-8 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer