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Interior operators in the category of groups
(2015-05)
A previously introduced notion of categorical interior operator is studied in the category of groups. The main purpose of this research is to try to find out how many of the general results that hold for a categorical ...
Interior operators and T1 topological spaces
(2018-05)
A general notion of T1-separation with respect to an arbitrary interior operator
is introduced in the category Top of topological spaces. This is done by means of
the concept of categorical interior operator. This naturally ...
Álgebras de Colombeau y multiplicación de distribuciones
(2008)
En este trabajo se discute el problema del producto de distribuciones. Se presenta el resultado de imposibilidad de Schwartz y varias definiciones del producto de distribuciones.Se da la construcción del álgebra de Colombeau ...
The notion of separation for interior operators in topology
(2010-12)
A notion of separation with respect to an interior operator in topology is introduced. After concrete examples, some properties of separation are presented. In particular, closure of separation with respect to subspaces ...
Closure operators, torsion theories, and radicals in a non-abelian environment
(2009-05)
In the category of abelian groups, there exists a relationship between torsion theories and idempotent radicals where we can use one to find the other. In the process we can learn of different properties that apply to the ...
Coseparation with respect to an interior operator in topology
(2018-05)
Motivated by the results obtained in the paper [1], concerning the notion of
separation for an interior operator in topology, the notion of I-coseparation for an
interior operator I in topology is introduced. A few ...
Interior operator theory in topology and algebra
(2009-06)
A categorical notion of interior operator is used in topology to define connectedness and disconnectedness with respect to an interior operator. A commutative diagram of Galois connections is used to show a relationship ...
Teorías de torsión en la categoría de espacios topolígicos
(2009)
En Algebra, especificamente, dentro de la categoría de grupos abelianos, existen los conceptos de teoría de torsión y radical. Estos conceptos están estrechamente relacionados mediante una proposición que muestra una ...
Torsion theories, radicals and closure operators in the category of rings
(2009-05)
In 1971, Joachim Lambek published a result which gives an equivalence between torsion theo- ries (B,C) and idempotent radicals T in the category Mod R, establishing some properties of the classes of R-modules B and C and ...
Teorias de torsión en la categoría de espacios topológicos
(2009-05)
En Algebra, especificamente, dentro de la categoría de grupos abelianos, existen los conceptos de teoría de torsión y radical. Estos conceptos están estrechamente relacionados mediante una proposición que muestra una ...