G-compactness and local G-compactness of topological groups with operations

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dc.authorid0000-0001-7411-2871en_US
dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorMucuk, Osman
dc.date.accessioned2024-07-12T20:46:54Z
dc.date.available2024-07-12T20:46:54Z
dc.date.issued2021en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIt is well known 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 Gcontinuity, G-compactness and G-connectedness. In this paper we prove some results about G-compactness 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.identifier.citationMucuk, O. ve Çakkalı, H. (2021). G-compactness and local G-compactness of topological groups with operations. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.en_US
dc.identifier.doi10.1063/5.0042236
dc.identifier.endpage4en_US
dc.identifier.isbn978-0-7354-4078-4
dc.identifier.scopus2-s2.0-85102271043en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/5.0042236
dc.identifier.urihttps://doi.prg/10.1063/5.0042236
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1921
dc.identifier.wosWOS:000664201400030en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇakallı, Hüseyin
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofFourth International Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesien_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07335
dc.subjectG-sequential compactnessen_US
dc.subjectlocal G-compactnessen_US
dc.subjecttopological group with operationsen_US
dc.titleG-compactness and local G-compactness of topological groups with operationsen_US
dc.typeConference Object
dspace.entity.typePublication

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