Fuzzy quasi-pseudometrics on algebraic structures
Metadatos
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https://doi.org/10.1016/j.fss.2017.05.022 |
Metadatos
Título
Fuzzy quasi-pseudometrics on algebraic structuresFecha de publicación
2018-01Editor
ElsevierCita bibliográfica
SÁNCHEZ, Iván; SANCHIS, Manuel. Fuzzy quasi-pseudometrics on algebraic structures. Fuzzy Sets and Systems, 2018, 330: 79-86.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0165011417302312Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ... [+]
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy (quasi-)pseudometric, then it is a fuzzy (paratopological) topological group, (2) if the topology on a semigroup S is induced by an invariant fuzzy quasi-pseudometric, then S is a fuzzy topological semigroup, and (3) the same conclusion is valid for a left-invariant fuzzy quasi-pseudometric on a monoid G such that the left translations are open and the right translations are continuous at the identity e of G. By means of the standard fuzzy (quasi-)pseudometric associated to a (quasi-)pseudometric d, our results apply in the case of semitopological groups, semigroups and monoids in order to obtain new results that allow us to generalize and to strengthen previous outcomes. [-]
Proyecto de investigación
CONACYT of Mexico (grant number 259783) ; Spanish Ministerio de Economía y Competitividad (Grant MTM2016-77143-P), Generalitat Valenciana (Grant AICO/2016/030) ; Universitat Jaume I (Grant P1-1B2014-35).Derechos de acceso
© 2017 Elsevier B.V. All rights reserved.
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- IMAC_Articles [122]
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