Mucuk, Osman2024-07-122024-07-122021Mucuk, 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. 1-4.978-0-7354-4078-410.1063/5.00422362-s2.0-85102271043https://aip.scitation.org/doi/10.1063/5.0042236https://doi.prg/10.1063/5.0042236https://hdl.handle.net/20.500.12415/1921It 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessG-sequential compactnesslocal G-compactnesstopological group with operationsConference Object41WOS:000664201400030N/A