Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The Center of the Lattice of Factorization Structures
Authors: Dumitru Botnaru, Elena Baeș
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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
E-mail: ,
Chisinau, Technical University
Moldova
E-mail: ,
Fulltext
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Contents
- Shape dimension of maps
- Semi-integral filters and semi-integral BL-algebras
- Orthogonality and retract orthogonality of operations
- An Approach for Determining the Optimal Strategies for an Average Markov Decision Problem with Finite State and Action Spaces
- The Center of the Lattice of Factorization Structures
- Properties of finite unrefinable chains of ring topologies for nilpotent rings
- Quartic differential systems with an invariant straight line of maximal multiplicity
- Distances on Free Semigroups and Their Applications
- Integrability conditions for a class of cubic differential systems with a bundle of two invariant straight lines and one invariant cubic
