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Objective Triangle Functors in Adjoint Pairs
, 2017An additive functor F:A → B between additive categories is objective if any morphism f in A with F(f) = 0 factors through an object K with F(K) = 0. We consider when a triangle functor in an adjoint pair is objective.
Pu Zhang, Lin Zhu
semanticscholar +1 more source
On adjoint functors in representation theory
, 1981R. Bautista, L. Colavita, L. Salmerón
semanticscholar +3 more sources
Nilpotent Category of Abelian Category and Self-adjoint Functors
Frontiers of Mathematics, 2023Zhiwei Bai +4 more
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Adjunctions and Adjoint Functor Theorems
2021In this section, we will discuss adjunctions between ∞-categories. We will define them in the language of fibrations and show that they may equivalently be described by choosing a binatural transformation of bivariant mapping-space functors. We will give several sufficient criteria for a fixed functor \(f \colon \mathscr {C} \to \mathscr {D}\) to admit
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RESTRICTED ADJOINTS AND TOPOLOGICAL FUNCTORS
Quaestiones Mathematicae, 1983Abstract The idea of adjoint functors or adjoint situation is one of the most important concepts in category theory. However, many examples are known which deviate from adjoint situations in one respect or another. These gave rise to various generalizations of adjoint situations (e.g. see R. Borger and w. Tholen [l], Y. Diers [2], and F.
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Archiv der Mathematik, 1972 Free Incomplete Tambara Functors are Almost Never Flat
International Mathematics Research Notices, 2023Michael A Hill
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Categories of Functors and Adjoint Functors
American Journal of Mathematics, 1966openaire +2 more sources
POLYNOMIAL FUNCTORS AND TWO-PARAMETER QUANTUM SYMMETRIC PAIRS
Transformation Groups, 2023Hankyung Ko
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