Derived equivalences and stable equivalences of Morita type, II
نویسندگان
چکیده
منابع مشابه
A Note on Stable Equivalences of Morita Type
We investigate when an exact functor F ∼= − ⊗Λ MΓ : mod-Λ → mod-Γ which induces a stable equivalence is part of a stable equivalence of Morita type. If Λ and Γ are finite dimensional algebras over a field k whose semisimple quotients are separable, we give a necessary and sufficient condition for this to be the case. This generalizes a result of Rickard’s for self-injective algebras. As a corol...
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Two unital dual operator algebras A,B are called ∆-equivalent if there exists an equivalence functor F : AM → BM which “extends” to a ∗−functor implementing an equivalence between the categories ADM and BDM. Here AM denotes the category of normal representations of A and ADM denotes the category with the same objects as AM and ∆(A)-module maps as morphisms (∆(A) = A ∩A ). We prove that any such...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2018
ISSN: 0213-2230
DOI: 10.4171/rmi/981