Results 181 to 190 of about 100,519 (222)
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Adjointness Aspects of the Down-Set Functor
Applied Categorical Structures, 2001The authors investigate various concepts \(X\) akin to openess for frame homomorphisms. They consider the down-set construction as a functor from the category of Boolean frames to the category of frames and frame homomorphisms satisfying condition \(X\).
Banaschewski, B., Pultr, A.
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Equivalences Induced by Adjoint Functors
Communications in Algebra, 2003Abstract Let 𝒜 and ℬ be two Grothendieck categories, R : 𝒜 → ℬ, L : ℬ → 𝒜 a pair of adjoint functors, S ∈ ℬ a generator, and U = L(S). U defines a hereditary torsion class in 𝒜, which is carried by L, under suitable hypotheses, into a hereditary torsion class in ℬ. We investigate necessary and sufficient conditions which
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Nilpotent Category of Abelian Category and Self-adjoint Functors
Frontiers of Mathematics, 2023Zhiwei Bai +4 more
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ORDER EXTENSIONS AS ADJOINT FUNCTORS
Quaestiones Mathematicae, 1986Abstract A standard extension (resp. standard completion) is a function Z assigning to each poset P a (closure) system ZP of subsets such that x ⋚ y iff x belongs to every Z e ZP with y e Z. A poset P is Z -complete if each Z e 2P has a join in P. A map f: P → P′ is Z—continuous if f−1 [Z′] e ZP for all Z′ e ZP′, and a Z—morphism if, in addition, for ...
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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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“Topologically Indexed Function Spaces and Adjoint Functors”
Canadian Mathematical Bulletin, 1982AbstractLet Top denote the category of topological spaces and continuous maps. In this paper we discuss families of function spaces indexed by the elements of a topological space T, and their relationship to the characterization of right adjoints Top/S → Top/T, where S is also a topological space. After reducing the problem to the case where S is a one-
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Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian
International Mathematics Research Notices, 2021Kang Lu, Evgeny Mukhin
exaly
Abstract families and the adjoint functor theorems
, 1978R. Paré, D. Schumacher
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Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
, 2005K. Hofmann, S. Morris
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