G-sequentially connectedness for topological groups with operations

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorMucuk, Osman
dc.contributor.authorCakalli, Huseyin
dc.contributor.editorAshyralyev, A; Lukashov, A
dc.date.accessioned2024-07-12T21:59:33Z
dc.date.available2024-07-12T21:59:33Z
dc.date.issued2016en_US
dc.departmentMaltepe Üniversitesi, Rektörlüken_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 l i m 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 l i m 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-sequential continuity, G-sequential compactness and G-sequential connectedness. In this work, we present some results about G-sequentially closures, G-sequentially connectedness and fundamental system of G-sequentially open neighbourhoods for topological group 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.doi10.1063/1.4959652
dc.identifier.isbn978-0-7354-1417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000838099en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://dx.doi.org/10.1063/1.4959652
dc.identifier.urihttps://hdl.handle.net/20.500.12415/8958
dc.identifier.volume1759en_US
dc.identifier.wosWOS:000383223000035en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherAMER INST PHYSICSen_US
dc.relation.ispartofINTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016)en_US
dc.relation.isversionofAIP Conference Proceedingsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY06004
dc.subjectSequencesen_US
dc.subjectG-sequentially continuityen_US
dc.subjectG-sequentially connectednessen_US
dc.subjectTopological group with operationsen_US
dc.titleG-sequentially connectedness for topological groups with operationsen_US
dc.typeConference Object
dspace.entity.typePublication

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