Results 21 to 30 of about 19,289 (184)
Twisted separability for adjoint functors [PDF]
Theory and Applications of CategoriesTwisted 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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Adjoint functor theoremsfor lax-idempotent pseudomonads [PDF]
Theory and Applications of Categories, 2023 For each pair of lax-idempotent pseudomonads $R$ and $I$, for which $I$ is locally fully faithful and $R$ distributes over $I$, we establish an adjoint functor theorem, relating $R$-cocontinuity to adjointness relative to $I$. This provides a new perspective on the nature of adjoint functor theorems, which may be seen as methods to decompose ...
Arkor, Nathanael +2 more
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Adjoint functors and triples [PDF]
Illinois Journal of Mathematics, 1965 Eilenberg, Samuel, Moore, John C.
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Resolving resolution dimensions in triangulated categories
Open Mathematics, 2021 Let T{\mathcal{T}} be a triangulated category with a proper class ξ\xi of triangles and X{\mathcal{X}} be a subcategory of T{\mathcal{T}}. We first introduce the notion of X{\mathcal{X}}-resolution dimensions for a resolving subcategory of T{\mathcal{T}}
Ma Xin, Zhao Tiwei
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On Adjoint Dynamical Systems [PDF]
, 1973 Transformations of dynamical systems and organismic structures are discussed in terms of adjoint, simple adjoint and weak adjoint functors of organismic supercategories during development and evolution of organisms on markedly different timescales.
Baianu, Prof. Dr. I. C. +1 more
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On the computation of fusion over the affine Temperley–Lieb algebra
Nuclear Physics B, 2018 Fusion product originates in the algebraization of the operator product expansion in conformal field theory. Read and Saleur (2007) introduced an analogue of fusion for modules over associative algebras, for example those appearing in the description of ...
Jonathan Belletête, Yvan Saint-Aubin
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Categorical Equivalences from State-Effect Adjunctions [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 From every pair of adjoint functors it is possible to produce a (possibly trivial) equivalence of categories by restricting to the subcategories where the unit and counit are isomorphisms.
Robert Furber
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Resolution Dimension Relative to Resolving Subcategories in Extriangulated Categories
Mathematics, 2021 Let (C,E,s) be an extriangulated category with a proper class ξ of E-triangles and X a resolving subcategory of C. In this paper, we introduce the notion of X-resolution dimension relative to the subcategory X in C, and then give some descriptions of ...
Lingling Tan, Li Liu
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Frobenius reciprocity and the Haagerup tensor product [PDF]
, 2017 In the context of operator-space modules over C*-algebras, we give a complete characterisation of those C*-correspondences whose associated Haagerup tensor product functors admit left adjoints.
Crisp, Tyrone
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Co-Frobenius corings and adjoint functors
Journal of Pure and Applied Algebra, 2008 We study co-Frobenius and more generally Quasi-co-Frobenius corings over arbitrary baserings and over PF baserings in particular. We generalize some results about (Quasi-) co-Frobenius coalgebras to the case of non-commutative base rings and give several new characterisations for co-Frobenius and Quasi-co-Frobenius corings, some of them are new even in
Iovanov, Miodrag, Vercruysse, Joost
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