On G-Compactness of Topological Groups with Operations
Filomat, cilt.36, sa.20, ss.7113-7121, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 36 Sayı: 20
- Basım Tarihi: 2022
- Doi Numarası: 10.2298/fil2220113m
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.7113-7121
- Anahtar Kelimeler: G-compactness, G-connectedness, G-continuity, G-hull, Sequences, topological group with operations
- Maltepe Üniversitesi Adresli: Evet
Özet
One 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.