Algebraically compact functors

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Algebraically compact functors

In a previous paper, we investigated the relation between the initial algebra and terminal coalgebra for an endofunctor on the category of sets. In this one we study conditions on a functor to be algebraically compact, which means that the canonical comparison morphism between those objects is an isomorphism. Introduction Suppose C is a category and T : C −→ C is a functor. In both [Barr, 1991]...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 1992

ISSN: 0022-4049

DOI: 10.1016/0022-4049(92)90169-g