G-Connectedness in Topological Groups with Operations

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorMucuk, Osman
dc.contributor.authorCakalli, Huseyin
dc.date.accessioned2024-07-12T21:47:00Z
dc.date.available2024-07-12T21:47:00Z
dc.date.issued2018en_US
dc.departmentMaltepe Üniversitesien_US
dc.description3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTANen_US
dc.description.abstractIt is a well known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by lim from the set of all convergent sequences in X to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. Recently some authors have extended the concept to the topological group setting and introduced the concepts of G-continuity, G-compactness and G-connectedness. In this paper we present some results about G-hulls, G-connectedness and G-fundamental systems of G-open neighbourhoods for a wide class of topological algebraic structures called groups with operations, which include topological groups, topological rings without identity, R-modules, Lie algebras, Jordan algebras, and many others.en_US
dc.description.sponsorshipInst Math & Math Modeling, Al Farabi Kazakh Natl Univ, L N Gumilyov Eurasian Natl Univen_US
dc.identifier.doi10.2298/FIL1803079M
dc.identifier.endpage1089en_US
dc.identifier.issn0354-5180
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85048014972en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1079en_US
dc.identifier.urihttps://dx.doi.org/10.2298/FIL1803079M
dc.identifier.urihttps://hdl.handle.net/20.500.12415/7988
dc.identifier.volume32en_US
dc.identifier.wosWOS:000439421100038en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherUNIV NIS, FAC SCI MATHen_US
dc.relation.ispartofFILOMATen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY01031
dc.subjectSequencesen_US
dc.subjectsummabilityen_US
dc.subjectG-hullen_US
dc.subjectG-continuityen_US
dc.subjectG-connectednessen_US
dc.subjecttopological group with operationsen_US
dc.titleG-Connectedness in Topological Groups with Operationsen_US
dc.typeArticle
dspace.entity.typePublication

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