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Fuzzy quasi-pseudometrics on algebraic structures
dc.contributor.author | Sánchez, Iván | |
dc.contributor.author | Sanchis López, Manuel | |
dc.date.accessioned | 2019-03-15T10:04:20Z | |
dc.date.available | 2019-03-15T10:04:20Z | |
dc.date.issued | 2018-01 | |
dc.identifier.citation | SÁNCHEZ, Iván; SANCHIS, Manuel. Fuzzy quasi-pseudometrics on algebraic structures. Fuzzy Sets and Systems, 2018, 330: 79-86. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/181850 | |
dc.description.abstract | 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. | ca_CA |
dc.format.extent | 7 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2017 Elsevier B.V. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | fuzzy (quasi-)pseudometric | ca_CA |
dc.subject | left topological group | ca_CA |
dc.subject | right topological group | ca_CA |
dc.subject | semitopological group | ca_CA |
dc.subject | paratopological group | ca_CA |
dc.subject | topological group | ca_CA |
dc.subject | topological semigroup | ca_CA |
dc.subject | invariant fuzzy (quasi-)pseudometric | ca_CA |
dc.title | Fuzzy quasi-pseudometrics on algebraic structures | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.fss.2017.05.022 | |
dc.relation.projectID | 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). | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0165011417302312 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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