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IMI/Publicaţii/BASM/Ediţii/BASM n.1(86), 2018/

The Center of the Lattice of Factorization Structures

Authors: Dumitru Botnaru, Elena Baeș

Abstract

The center of the lattice of factorization structures of the category of locally convex topological vector spaces is studied. The center consists of those structures for which the projections class is contained in the class of universal epimorphisms. The injective class is contained in the class of universal monomorphisms. It is proved that every element of the center defines two commuting functors: a coreflector and a reflector functor. The relationships of these pair of functors with left and right products of two subcategories and with the theories of relative torsion are examined. Some concrete examples are constructed.

State University of Tiraspol
Chisinau, Technical University
Moldova
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