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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, Number 1, Pages 50–66
(Mi basm468)
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The center of the lattice of factorization structures
Dimitru Botnaruab, Elena Baeşab a Tiraspol State University, Chişinău, Moldova
b Technical University, Moldova
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.
Keywords and phrases:
reflective and coreflective subcategories, locally convex space, factorization structure, commutative functors, relative torsion theories.
Received: 27.12.2017
Citation:
Dimitru Botnaru, Elena Baeş, “The center of the lattice of factorization structures”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 1, 50–66
Linking options:
https://www.mathnet.ru/eng/basm468 https://www.mathnet.ru/eng/basm/y2018/i1/p50
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Abstract page: | 157 | Full-text PDF : | 71 | References: | 18 |
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