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Closure Operators with Respect to a Functor
Authors:G Castellini  E Giuli
Institution:1. Department of Mathematics, University of Puerto Rico, Mayagüez Campus, P.O. Box 9018, Mayagüez, PR, 00681-9018, USA
2. Dipartimento di Matematica, Universitá di L'Aquila, 67100, L'Aquila, Italy
Abstract:A notion of closure operator with respect to a functor U is introduced. This allows us to describe a number of mathematical constructions that could not be described by means of the already existing notion of closure operator. Some basic results and examples are provided.
Keywords:closure operator  faithful functor  factorization structure
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