Results 11 to 20 of about 94,018 (202)

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 new characterisations for co-Frobenius and Quasi-co-Frobenius corings, some of them are new even in
Miodrag C. Iovanov, Joost Vercruysse
core   +8 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

ADJOINT FUNCTORS ON THE DERIVED CATEGORY OF MOTIVES [PDF]

Journal of the Institute of Mathematics of Jussieu, 2015
We show that the subcategory of mixed Tate motives in Voevodsky’s derived category of motives is not closed under infinite products. In fact, the infinite product $\prod _{n=1}^{\infty }\mathbf{Q}(0)$ is not mixed Tate.
B. Totaro
semanticscholar   +7 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

Higher Algebraic K-Theory of Causality [PDF]

Entropy
Causal discovery involves searching intractably large spaces. Decomposing the search space into classes of observationally equivalent causal models is a well-studied avenue to making discovery tractable.
Sridhar Mahadevan
doaj   +2 more sources

Where Do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory [PDF]

Foundations
Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”. The
David Ellerman
doaj   +2 more sources

Separable functors in corings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
We develop some basic functorial techniques for the study of the categories of comodules over corings. In particular, we prove that the induction functor stemming from every morphism of corings has a left adjoint, called ad-induction functor.
J. Gómez-Torrecillas
doaj   +6 more sources