The Center of the Lattice of Factorization Structures
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517.9+519.157 (1)
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243)
Комбинаторный анализ. Теория графов (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

The Center of the Lattice of Factorization Structures

CZU: 517.9+519.157
MSC 2010: 18A40, 46A03.

Pag. 50-66

Botnaru Dumitru, Baeş Elena
 
Tiraspol State University
 
 
Disponibil în IBN: 26 iulie 2018


Rezumat

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.

Cuvinte-cheie
reflective and coreflective subcategories, locally convex space, factorization structure, commutative functors, relative torsion theories.