Academic Journal
Well Generatedness and Adjoints for Homotopy Categories of N-complexes
| العنوان: | Well Generatedness and Adjoints for Homotopy Categories of N-complexes |
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| المؤلفون: | Cortés-Izurdiaga, Manuel, Torrecillas, Blas |
| بيانات النشر: | Springer |
| سنة النشر: | 2023 |
| المجموعة: | RIUMA - Repositorio Institucional de la Universidad de Málaga |
| مصطلحات موضوعية: | Homotopía, N -complex, Homotopy category of N -complexes, Well generated category, Coreflective subcategory |
| الوصف: | 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. ; Funding for open access publishing: Universidad Málaga/CBUA |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | 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 |
| DOI: | 10.1007/s40840-023-01537-8 |
| الاتاحة: | https://hdl.handle.net/10630/27109 https://doi.org/10.1007/s40840-023-01537-8 |
| Rights: | info:eu-repo/semantics/openAccess ; http://creativecommons.org/licenses/by/4.0/ ; Atribución 4.0 Internacional |
| رقم الانضمام: | edsbas.9790F6AD |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s40840-023-01537-8 |
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