RT Journal Article
T1 Well Generatedness and Adjoints for Homotopy Categories of N-complexes
A1 Cortés-Izurdiaga, Manuel
A1 Torrecillas, Blas
K1 Homotopía
AB Let R be a ring and N ≥ 2. First, we prove that any deconstructible class of modules Fover 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 anydecomposable class of modules G, the homotopy category of N -complexes, KN (G),is well generated. In particular, the homotopy category of N -complexes of projectivemodules is ℵ1 -generated, which extends the well known result of Neeman for N = 2.
PB Springer
YR 2023
FD 2023
LK https://hdl.handle.net/10630/27109
UL https://hdl.handle.net/10630/27109
LA eng
NO 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
NO Funding for open access publishing: Universidad Málaga/CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026