Geodesic
The center of the lattice of factorization structures
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2018), pp. 50-66

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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. 
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     author = {Dimitru Botnaru and Elena Bae\c{s}},
     title = {The center of the lattice of factorization structures},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {50--66},
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     number = {1},
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Dimitru Botnaru; Elena Baeş. The center of the lattice of factorization structures. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2018), pp. 50-66. http://geodesic.mathdoc.fr/item/BASM_2018_1_a4/