A monoidal analogue of the 2-category anti-equivalence between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">ABEX</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si18.svg"><mml:mi mathvariant="double-struck">DEF</mml:mi></mml:math>
نویسندگان
چکیده
We prove that the 2-category of skeletally small abelian categories with exact monoidal structures is anti-equivalent to fp-hom-closed definable additive satisfying an exactness criterion. For a fixed finitely accessible category C products and structure appropriate assumptions, we provide bijections between subcategories C, Serre tensor-ideals Cfp-mod closed subsets Ziegler-type topology. preadditive A additive, symmetric, rigid show elementary duality induces bijection Mod-A A-Mod.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2023
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2022.107210