Results 21 to 30 of about 94,018 (202)
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
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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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Adjointness of Suspension and Shape Path Functors
Mathematics Interdisciplinary Research, 2017 11 pages.
Tayyebe Nasri +2 more
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The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors
Homotopy Theory: Tools and
Applications, 2017 For $N_\infty$ operads $\mathcal O$ and $\mathcal O'$ such that there is an inclusion of the associated indexing systems, there is a forgetful functor from incomplete Tambara functors over $\mathcal O'$ to incomplete Tambara functors over $\mathcal O ...
Andrew J. Blumberg, Michael A. Hill
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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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Planar diagrammatics of self-adjoint functors and recognizable tree series [PDF]
Pure and Applied Mathematics Quarterly, 2021 A pair of biadjoint functors between two categories produces a collection of elements in the centers of these categories, one for each isotopy class of nested circles in the plane.
M. Khovanov, Robert Laugwitz
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A characterization of finite \'etale morphisms in tensor triangular geometry [PDF]
Épijournal de Géométrie Algébrique, 2022 We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are precisely those functors which have a conservative right adjoint, satisfy Grothendieck--Neeman duality, and for which the relative dualizing object is ...
Beren Sanders
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