Abstract
Let R and S be arbitrary associative rings. Given a bimodule RWS, we denote by Δ? and Γ? the functors Hom?(−,W) and Ext1?(−,W), where ?=R or S. The functors ΔR and ΔS are right adjoint with the evaluation maps δ as unities. A module M is Δ-reflexive if δM is an isomorphism. In this paper we give, for a weakly cotilting bimodule RWS, the notion of Γ-reflexivity. We construct large Abelian subcategories MR and MS where the functors ΓR and ΓS are left adjoint and a “cotilting theorem” holds.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
