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Kan Extensions of Internal Functors. Algebraic Approach
Authors:T Datuashvili
Institution:(1) A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi, 380093, Georgia
Abstract:We investigate the question of the Kan extension in the case when all categories and functors are internal in the category of groups. Under certain assumptions we establish the necessary and sufficient conditions for the existence of internal Kan extensions. Questions related to this problem are also discussed.
Keywords:Crossed module  internal category  Kan extension
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