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517.9+519.157 (1) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
Analiză combinatorică. Teoria grafurilor (115) |
SM ISO690:2012 BOTNARU, Dumitru, BAEŞ, Elena. The Center of the Lattice of Factorization Structures. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, vol. 86, nr. 1(86), pp. 50-66. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Volumul 86, Numărul 1(86) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.9+519.157 | ||||||
MSC 2010: 18A40, 46A03. | ||||||
Pag. 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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Cuvinte-cheie reflective and coreflective subcategories, locally convex space, factorization structure, commutative functors, relative torsion theories. |
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