Brown representability for triangulated categories with a linear action by a graded ring
نویسندگان
چکیده
In this paper we give necessary and sufficient conditions for a functor to be representable in strongly generated triangulated category which has linear action by graded ring, discuss some applications examples.
منابع مشابه
Failure of Brown Representability in Derived Categories
Let T be a triangulated category with coproducts, T ⊂ T the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [1]: All homological functors {T}op −→ Ab are the restrictions of representable functors on T, and all natural transformations are the restrictions of morphisms in T. It has been something of a mystery, to what extent this ...
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Let T be a triangulated category with coproducts, T ⊂ T the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams proved the following in [1]: All homological functors {T} −→ Ab are the restrictions of representable functors on T, and all natural transformations are the restrictions of morphisms in T. It has been something of a mystery, to what extent this ge...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2022
ISSN: ['0003-889X', '1420-8938']
DOI: https://doi.org/10.1007/s00013-022-01800-7