Results 11 to 20 of about 110,236 (220)
Adjoint functors and equivalences of subcategories
Bulletin des Sciences Mathématiques, 2003 AbstractFor any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗S− and HomR(P,−) induce an equivalence between the categories of P-static R-modules and P-adstatic S-modules. In particular, this setting subsumes the Morita theory of equivalences between module categories and the theory of tilting modules.
Florencio Castaño Iglesias +2 more
semanticscholar +4 more sources
Adjoint functors and derived functors with an application to the cohomology of semigroups
Journal of Algebra, 1967 In the first section of this paper we prove that, under a suitable adjointness assumption, the derived functors of certain functors on Abelian categories are equal. This theorem implies a number of results in homology theory, including the “mapping theorem” of Cartan-Eilenberg ([I], p. 150).
William W. Adams, Marc A. Rieffel
semanticscholar +4 more sources
Continuity is an Adjoint Functor [PDF]
The American Mathematical Monthly, 2015 To appear in the American Mathematical ...
Edward S. Letzter
openalex +5 more sources
Adjoint functors induced by adjoint linear transformations [PDF]
Proceedings of the American Mathematical Society, 1974 Adjoint linear transformations between Hilbert spaces or, more generally, between dual systems of topological vector spaces induce contravariant functors which are adjoint on the right—essentially a Galois connection between the posets of subsets (or subspaces) of the spaces. Modulo scalars the passage from linear maps to functors is one-to-one; indeed,
Paul H. Palmquist
+5 more sources
Free Applicative Functors [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Applicative functors are a generalisation of monads. Both allow the expression of effectful computations into an otherwise pure language, like Haskell.
Paolo Capriotti, Ambrus Kaposi
doaj +4 more sources
On an adjoint functor to the Thom functor [PDF]
Proceedings of the American Mathematical Society, 2001 We construct a right adjoint functor to the Thom functor, i.e., to the functor which assigns the Thom space T ξ T\xi to a vector bundle ξ \xi .
Yuli B. Rudyak
openalex +2 more sources
Hedetniemi’s Conjecture and Adjoint Functors in Thin Categories [PDF]
Applied Categorical Structures, 2017 We survey results on Hedetniemi’s conjecture which are connected to adjoint functors in the “thin” category of graphs, and expose the obstacles to extending these results.
Jan Foniok, Claude Tardif
openalex +3 more sources
Adjoint functor theorems for $\infty$-categories [PDF]
Journal of the London Mathematical Society, 2018 Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper we prove general adjoint functor theorems for functors between $\infty$-categories. One of our main results is an $\infty$-categorical generalization of Freyd's classical General Adjoint Functor Theorem.
Hoang Kim Nguyen +2 more
arxiv +5 more sources
Hedetniemi's conjecture and adjoint functors in thin categories [PDF]
arXiv, 2016 We survey results on Hedetniemi's conjecture which are connected to adjoint functors in the "thin" category of graphs, and expose the obstacles to extending these results.
Jan Foniok, Claude Tardif
arxiv +3 more sources
On dynamical adjoint functor [PDF]
Applied Categorical Structures, 2012 We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U(sl(n))$- and $U_\hbar(sl(n))$-invariant star product on projective spaces.
arxiv +7 more sources