Results 1 to 10 of about 110,236 (220)
Adjoint functors and tree duality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Graphs and ...
Jan Foniok, Claude Tardif
doaj +12 more sources
Adjoint Functors and Triangulated Categories [PDF]
Communications in Algebra, 2008 We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the cases of homotopy and stable module categories. These categories naturally
Matthew Grime
core +8 more sources
Transactions of the American Mathematical Society, 1958 "Adjoint functors assist in reincorporating the subjective into its rightful place as a part of the objective so that it can organically reflect the objective" (Lawvere and Rosebrugh (2003), Sets for Mathematics, Cambridge University Press, p. 239).
Daniel M. Kan
semanticscholar +4 more sources
Co-Frobenius corings and adjoint functors [PDF]
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
Miodrag C. Iovanov, Joost Vercruysse
core +8 more sources
Adjoint functors on the derived category of motives [PDF]
Journal of the Institute of Mathematics of Jussieu, 2015 Voevodsky's derived category of motives is the main arena today for the study of algebraic cycles and motivic cohomology. In this paper we study whether the inclusions of three important subcategories of motives have a left or right adjoint. These adjoint functors are useful constructions when they exist, describing the best approximation to an ...
B. Totaro
arxiv +8 more sources
Adjoint functors and triples [PDF]
Illinois Journal of Mathematics, 1965 A riple F (F, ,) in ctegory a consists of functor F a nd morphisms la F, F F stisfying some identities (see 2, (T.1)-(T.3)) nlogous to those stisfied in monoid. Cotriples re defined dually.
Samuel Eilenberg, John C. Moore
semanticscholar +4 more sources
On Adjoint and Brain Functors [PDF]
Axiomathes, 2015 There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts
David Ellerman
semanticscholar +8 more sources
The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors [PDF]
arXiv, 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 $\mathcal O$. Roughly speaking, this functor forgets the norms in $\mathcal O'$ that are not present in $\mathcal O$
Andrew J. Blumberg, Michael A. Hill
arxiv +4 more sources
Properties of dense and relative adjoint functors
Journal of Algebra, 1968 In this paper we investigate some properties of dense1 and relative adjoint functors which we will use extensively in [I]. However it seems that some of these properties are of interest in themselves. Therefore we prefer not to include them in [Z] but to present them separately.
Friedrich Ulmer
semanticscholar +4 more sources
On Fundamental Constructions and Adjoint Functors [PDF]
Canadian Mathematical Bulletin, 1966 A fundamental construction of a category ζ((2), Appendice) is a triple (S, p, k), where S is a functor from ζ to itself and 2 where p:S2→S and k:1ζ→S are natural transformations such ...
J.-M. Maranda
semanticscholar +4 more sources