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Dive into the research topics where María Jesús Chasco is active.

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Featured researches published by María Jesús Chasco.


Czechoslovak Mathematical Journal | 2001

Strong Reflexivity of Abelian Groups

Montserrat Bruguera; María Jesús Chasco

A reflexive topological group G is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group G and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.


Abstract and Applied Analysis | 2013

Extending Topological Abelian Groups by the Unit Circle

Hugo J. Bello; María Jesús Chasco; X. Domínguez

A twisted sum in the category of topological Abelian groups is a short exact sequence where all maps are assumed to be continuous and open onto their images. The twisted sum splits if it is equivalent to . We study the class of topological groups G for which every twisted sum splits. We prove that this class contains Hausdorff locally precompact groups, sequential direct limits of locally compact groups, and topological groups with topologies. We also prove that it is closed by taking open and dense subgroups, quotients by dually embedded subgroups, and coproducts. As means to find further subclasses of , we use the connection between extensions of the form and quasi-characters on G, as well as three-space problems for topological groups. The subject is inspired on some concepts known in the framework of topological vector spaces such as the notion of -space, which were interpreted for topological groups by Cabello.


european society for fuzzy logic and technology conference | 2017

On the Preservation of an Equivalence Relation Between Fuzzy Subgroups

Carlos Bejines; María Jesús Chasco; Jorge Elorza; Susana Montes

Two fuzzy subgroups \(\mu ,\eta \) of a group G are said to be equivalent if they have the same family of level set subgroups. Although it is well known that given two fuzzy subgroups \(\mu ,\eta \) of a group G their maximum is not always a fuzzy subgroup, it is clear that the maximum of two equivalent fuzzy subgroups is a fuzzy subgroup. We prove that the composition of two equivalent fuzzy subgroups by means of an aggregation function is again a fuzzy subgroup. Moreover, we prove that if two equivalent subgroups have the sup property their corresponding compositions by any aggregation function also have the sup property. Finally, we characterize the aggregation functions such that when applied to two equivalent fuzzy subgroups, the obtained fuzzy subgroup is equivalent to both of them. These results extend the particular results given by Jain for the maximum and the minimum of two fuzzy subgroups.


Archive | 2018

Equivalence Relations on Fuzzy Subgroups

Carlos Bejines; María Jesús Chasco; Jorge Elorza; Susana Montes

We compare four equivalence relations defined in fuzzy subgroups: Isomorphism, fuzzy isomorphism and two equivalence relations defined using level subset notion. We study if the image of two equivalent fuzzy subgroups through aggregation functions is a fuzzy subgroup, when it belongs to the same class of equivalence and if the supreme property is preserved in the class of equivalence and through aggregation functions.


International Summer School on Aggregation Operators | 2017

Some Results About Fuzzy Consequence Operators and Fuzzy Preorders Using Conjunctors

Carlos Bejines; María Jesús Chasco; Jorge Elorza; Susana Montes

The purpose of this paper is to study fuzzy operators induced by fuzzy relations and fuzzy relations induced by fuzzy operators. Many results are obtained about the relationship between \(*\)-preorders and fuzzy consequences operators for a fixed t-norm \(*\). We analyse these properties by considering a semi-copula (generalization of t-norm concept) instead of a t-norm. Moreover, we show that the conditions imposed cannot be relaxed. We have been able to prove some important results about the relationships between fuzzy relations and fuzzy operators in this more general context.


Forum Mathematicum | 2012

PRECOMPACT NONCOMPACT REFLEXIVE ABELIAN GROUPS

Sergio Ardanza-Trevijano; María Jesús Chasco; X. Domínguez; Mikhail Tkachenko


Journal of Mathematical Analysis and Applications | 2010

Locally minimal topological groups 2

Lydia Außenhofer; María Jesús Chasco; Dikran Dikranjan; X. Domínguez


Journal of Mathematical Analysis and Applications | 2016

Splittings and cross-sections in topological groups

H.J. Bello; María Jesús Chasco; X. Domínguez; Mikhail Tkachenko


Journal of Mathematical Analysis and Applications | 2015

Arcs in the Pontryagin dual of a topological abelian group

Lydia Außenhofer; María Jesús Chasco; X. Domínguez


Fuzzy Sets and Systems | 2018

Preserving fuzzy subgroups and indistinguishability operators

Carlos Bejines; María Jesús Chasco; Jorge Elorza; Jordi Recasens

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Mikhail Tkachenko

Universidad Autónoma Metropolitana

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Jordi Recasens

Polytechnic University of Catalonia

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