Results 21 to 30 of about 110,236 (220)
Twisted separability for adjoint functors
, 2023 Twisted separable functors generalize the separable functors of Nastasescu, Van den Bergh and Van Oystaeyen, and provide a convenient tool to compare various projective dimensions. We discuss when an adjoint functor is twisted separable, obtaining a version of Rafael's Theorem in the twisted case.
Julien Bichon
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Cubical Sets and Trace Monoid Actions [PDF]
The Scientific World Journal, 2013 This paper is devoted to connections between trace monoids and cubical sets. We prove that the category of trace monoids is isomorphic to the category of generalized tori and it is a reflective subcategory of the category of cubical sets.
Ahmet A. Husainov
doaj +2 more sources
Varieties of topological groups and left adjoint functors [PDF]
Journal of the Australian Mathematical Society, 1973 In [6] and [2] Markov and Graev introduced their respective concepts of a free topological group. Graev's concept is more general in the sense that every Markov free topological group is a Graev free topological group. In fact, if FG(X) is the Graev free
Sidney A. Morris
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The Adjoints of the Schur Functor [PDF]
arXiv, 2016 We show that the left and right adjoint of the Schur functor can be expressed in terms of the monoidal structure of strict polynomial functors. Using this result we give a necessary and sufficient condition for when the tensor product of two simple strict polynomial functors is again simple.
arxiv +3 more sources
An Interpolation Theorem for Adjoint Functors [PDF]
Proceedings of the American Mathematical Society, 1970 0. Introduction. In this paper we present a category theoretic generalization of the construction of the tensor algebra or symmetric algebra of a module which proceeds by representing the module as the quotient of the free module on the underlying set of the given module by its module of relations, then obtaining the tensor algebra as the quotient of ...
S. A. Huq
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Adjoint functors in graph theory [PDF]
arXiv, 2013 We survey some uses of adjoint functors in graph theory pertaining to colourings, complexity reductions, multiplicativity, circular colourings and tree duality. The exposition of these applications through adjoint functors unifies the presentation to some extent, and also raises interesting questions.
Foniok, Jan, Tardif, Claude
arxiv +3 more sources
Adjoint and Frobenius Pairs of Functors, Equivalences, and the Picard Group for Corings [PDF]
arXiv, 2007 We study adjoint and Frobenius pairs of functors, equivalences, and the Picard group for corings.
Mohssin Zarouali-Darkaoui
arxiv +3 more sources
Adjointness of Suspension and Shape Path Functors
Mathematics Interdisciplinary Research, 2017 11 pages.
Tayyebe Nasri +2 more
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Every standard construction is induced by a pair of adjoint functors [PDF]
, 1965 Heinrich Kleisli
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Adjoint Functors, Projectivization, and Differentiation Algorithms for Representations of Partially Ordered Sets [PDF]
, 2011 Mark Kleiner, Markus Reitenbach
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