Results 141 to 150 of about 93,496 (268)
Underlying functors on fibered manifolds
For a product preserving bundle functor on the category of fibered manifolds we describe subordinated functors and we introduce the concept of the underlying functor. We also show that there is an affine bundle structure on product preserving functors on
Miroslav Doupovec
doaj
On the Singer functor R_1 and the functor Fix
Lannes' T-functor is used to give a construction of the Singer functor R_1 on the category U of unstable modules over the Steenrod algebra A. This leads to a direct proof that the composite functor Fix R_1 is naturally equivalent to the identity. Further properties of the functors R_1 are deduced, especially when applied to reduced and nilclosed ...
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Cohomology as the derived functor of derivations [PDF]
Michael Barr, George S. Rinehart
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Goldie’s torsion theory and its derived functor [PDF]
J. S. Alin, Spencer E. Dickson
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On Dynamical Adjoint Functor [PDF]
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.
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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
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Derivation functors and Lusztig's induction functors
Lusztig proved the compatibility of induction functors and restriction functors for Lusztig's perverse sheaves. Fang-Lan-Xiao established a categorification of Green's formula and gave a sheaf-level proof of this compatibility for all semisimple complexes.
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On monomorphic topological functors with finite supports
We prove that a monomorphic functor $F:CompoComp$ with finite supports isepimorphic, continuous,and its maximal $emptyset$-modification $F^circ$ preserves intersections.
Banakh T. O.+2 more
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