Mucuk, OsmanCakalli, Hüseyin2024-07-122024-07-1220220354-518010.2298/FIL2220113M2-s2.0-85146752806https://doi.org/10.2298/FIL2220113Mhttps://hdl.handle.net/20.500.12415/7187One can notice that if X is a Hausdorff space, then limits of convergent sequences in X give us a function denoted by lim from the set of all convergent sequences in X to X. This notion has been extended by Connor and Grosse-Erdmann to an arbitrary linear functional G defined on a subspace of the vector space of real numbers. Following this idea some authors have defined concepts of G-continuity, G-compactness and G-connectedness in topological groups. In this paper we present some results about G-compactness of topological group with operations such as topological groups, topological rings without identity, R-modules, Lie algebras, Jordan algebras and many others.eninfo:eu-repo/semantics/openAccessSequencesG-CompactnessG-HullG-ContinuityG-ConnectednessTopological Group With OperationsArticle712120Q3711336WOS:000933599400024Q3