In this paper we study dualities between categories of topological and abstracts modules. Under a ew conditions, any such duality is a restriction of the natural duality between the full subcategories Refl(_R K) and Refl(K_A) of K-reflexive modules, given by the functors Chom_R(-,K) and Hom_A(-,K) for a certain bimodule _RK_A. We are interested to the case where the class Refl(K_A) of reflexive abstract modules is only contained in the class of modules cogenerated by K_A.
On a duality with ``less than usual'' reflexive abstract modules
TONOLO, ALBERTO
1998
Abstract
In this paper we study dualities between categories of topological and abstracts modules. Under a ew conditions, any such duality is a restriction of the natural duality between the full subcategories Refl(_R K) and Refl(K_A) of K-reflexive modules, given by the functors Chom_R(-,K) and Hom_A(-,K) for a certain bimodule _RK_A. We are interested to the case where the class Refl(K_A) of reflexive abstract modules is only contained in the class of modules cogenerated by K_A.File in questo prodotto:
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