منابع مشابه
Coinduction Functor and Simple Comodules *
Consider a coring with exact rational functor, and a finitely generated and projective right comodule. We construct a functor (coinduction functor) which is right adjoint to the hom-functor represented by this comodule. Using the coinduction functor, we establish a bijective map between the set of representative classes of torsion simple right comodules and the set of representative classes of ...
متن کاملCoinduction functor in representation stability theory
We study the coinduction functor on the category of FI-modules and its variants. Using the coinduction functor, we give new and simpler proofs of (generalizations of) various results on homological properties of FI-modules. We also prove that any finitely generated projective VI-module over a field of characteristic 0 is injective.
متن کاملOn Coinduction Functors between Categories of Comodules for Corings
In this note we consider different versions of coinduction functors between categories of comodules for corings induced by a morphism of corings. In particular we introduce a new version of the coinduction functor in the case of locally projective corings as a composition of suitable “Trace” and “Hom” functors and show how to derive it from a more general coinduction functor between categories ...
متن کاملA Note On Coinduction Functors between Categories of Comodules for Corings
In this note we consider different versions of coinduction functors between categories of comodules for corings induced by a morphism of corings. In particular we introduce a new version of the coinduction functor in the case of locally projective corings as a composition of suitable “Trace” and “Hom” functors and show how to derive it from a more general coinduction functor between categories ...
متن کاملConnected Simple Systems and the Conley Functor
The Conley index is a topological tool used in the qualitative theory of differential equations and dynamical systems (see [1], [10], [4]). In the simplest setting it takes the form of an object of a certain category (homotopy category of metric spaces, category of graded moduli etc.), which is known up to an isomorphism. This lack of precision is caused by the fact that there are many so calle...
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ژورنال
عنوان ژورنال: ANNALI DELL'UNIVERSITA' DI FERRARA
سال: 2009
ISSN: 0430-3202,1827-1510
DOI: 10.1007/s11565-009-0086-0