Mucuk, OsmanCakalli, HuseyinAshyralyev, A; Lukashov, A2024-07-122024-07-122016978-0-7354-1417-40094-243X10.1063/1.49596522-s2.0-85000838099https://dx.doi.org/10.1063/1.4959652https://hdl.handle.net/20.500.12415/89583rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTANIt 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.eninfo:eu-repo/semantics/closedAccessSequencesG-sequentially continuityG-sequentially connectednessTopological group with operationsConference ObjectN/A1759WOS:000383223000035N/A