Search Results - "Chasco, M.J."

Aggregation of fuzzy subgroups by Bejines, C., Chasco, M.J., Elorza, J.

“…Given an aggregation function, and two fuzzy subgroups of a group, this study investigates whether the aggregation of them is also a fuzzy subgroup. It is…”
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Aggregation of indistinguishability operators by Bejines, C., Ardanza-Trevijano, S., Chasco, M.J., Elorza, J.

“…The paper studies the aggregation of pairs of T-indistinguishability operators. More concretely we address the question whether A(E,E′) is a…”
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The annihilator of fuzzy subgroups by Ardanza-Trevijano, S., Chasco, M.J., Elorza, J.

“…We implement the notion of annihilator into fuzzy subgroups of an abelian group. There are different uses for the term annihilator in algebraic contexts that…”
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Aggregation of T-subgroups by Ardanza-Trevijano, S., Chasco, M.J., Elorza, J., de Natividade, M., Talavera, F.J.

“…We study when an aggregation function acting on an n-tuple of T-subgroups preserves the structure of T-subgroup. First we need to consider that there are two…”
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Topological groups of Lipschitz functions and Graev metrics by Chasco, M.J., Domínguez, X., Tkachenko, M.G.

“…We study the properties of the free abelian topological group Ad(X) on a metric space (X,d) endowed with the topology generated by the Graev extension dˆ of a…”
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The number of t-norms on some special lattices by Bejines, C., Bruteničová, M., Chasco, M.J., Elorza, J., Janiš, V.

“…We estimate the number of triangular norms on some classes of finite lattices. One of them is obtained from two chains by identifying their zero elements, unit…”
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Duality properties of bounded torsion topological abelian groups by Chasco, M.J., Domínguez, X., Tkachenko, M.

“…Let G be a precompact, bounded torsion abelian group and Gp∧ its dual group endowed with the topology of pointwise convergence. We prove that if G is Baire…”
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Preserving fuzzy subgroups and indistinguishability operators by Bejines, C., Chasco, M.J., Elorza, J., Recasens, J.

“…In this paper we study the class of all fuzzy subgroups defined with respect to a given t-norm on a fixed group. We find necessary and sufficient conditions…”
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One-parameter subgroups of topological abelian groups by Chasco, M.J.

“…It is proved that, for a wide class of topological abelian groups (locally quasi-convex groups for which the canonical evaluation from the group into its…”
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Splittings and cross-sections in topological groups by Bello, H.J., Chasco, M.J., Domínguez, X., Tkachenko, M.

“…This paper deals with the splitting of extensions of topological abelian groups. Given topological abelian groups G and H, we say that Ext(G,H) is trivial if…”
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Arcs in the Pontryagin dual of a topological abelian group by Außenhofer, L., Chasco, M.J., Domínguez, X.

“…In this article we study the arcwise connected component in the Pontryagin dual of an abelian topological group. It is clear that the set of continuous…”
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Cross sections and pseudo-homomorphisms of topological abelian groups by Bello, H.J., Chasco, M.J., Domínguez, X.

“…We say that a mapping ω between two topological abelian groups G and H is a pseudo-homomorphism if the associated map (x,y)∈G×G↦ω(x+y)−ω(x)−ω(y)∈H is…”
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PONTRYAGIN REFLEXIVE GROUPS ARE NOT DETERMINED BY THEIR CONTINUOUS CHARACTERS by CHASCO, M.J., MARTÍN-PEINADOR, E.

“…A theorem of Glicksberg states that, for an abelian group G, two locally compact topologies with the same set of continuous characters must coincide. In [12]…”
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Locally minimal topological groups 1 by Außenhofer, Lydia, Chasco, M.J., Dikranjan, Dikran, Domínguez, Xabier

“…The aim of this paper is to go deeper into the study of local minimality and its connection to some naturally related properties. A Hausdorff topological group…”
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Some cases of preservation of the Pontryagin dual by taking dense subgroups by Chasco, M.J., Domínguez, X., Trigos-Arrieta, F.J.

“…We study the compact-open topology on the character group of dense subgroups of topological abelian groups. Permanence properties concerning open subgroups,…”
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Schwartz groups and convergence of characters by Chasco, M.J., Domínguez, X., Tarieladze, V.

“…It is proved that a locally quasi-convex group is a Schwartz group if and only if every continuously convergent filter on its dual group converges locally…”
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A survey on reflexivity of abelian topological groups by Chasco, M.J., Dikranjan, D., Martín-Peinador, E.

“…The Pontryagin duality theorem for locally compact abelian groups (briefly, LCA groups) has been the starting point for many different routes of research in…”
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A class of angelic sequential non-Fréchet–Urysohn topological groups by Chasco, M.J., Martín-Peinador, E., Tarieladze, V.

“…Fréchet–Urysohn (briefly F-U) property for topological spaces is known to be highly non-multiplicative; for instance, the square of a compact F-U space is not…”
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The Pontryagin duality of sequential limits of topological Abelian groups by Ardanza-Trevijano, S., Chasco, M.J.

“…We prove that direct and inverse limits of sequences of reflexive Abelian groups that are metrizable or k ω -spaces, but not necessarily locally compact, are…”
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Pontryagin duality for metrizable groups by Chasco, M.J.

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