Abelian categories and module theory constitute a fundamental framework in modern algebra, offering a robust language and conceptual toolkit for addressing problems that span pure and applied ...
Let 𝒯 be a triangulated category with triangulation Δ, 𝜉 ⊆ Δ a proper class of triangles and 𝒞 an additive full subcategory of 𝒯 . We provide a method for constructing a proper 𝒞(𝜉)-resolution ...
Masaki Kashiwara, project professor at Kyoto University’s Research Institute for Mathematical Sciences, has been awarded the prestigious Abel Prize for 2025. The Norwegian Academy of Science and ...