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Slowly oscillating functions on semitopological semigroup | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 29، دوره 14، شماره 4، تیر 2023، صفحه 387-390 اصل مقاله (348.68 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21051.2225 | ||
نویسندگان | ||
Ali Pashapournia1؛ Mohammad Akbari Tootkaboni* 2؛ Davood Ebrahimi bagha1 | ||
1Department of Mathematics, Faculty of Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran | ||
2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
تاریخ دریافت: 14 مرداد 1399، تاریخ پذیرش: 26 خرداد 1400 | ||
چکیده | ||
The slowly oscillating functions have been used by I. V. Protasov to study of the algebraic structure of the Stone-$\check{C}$esh compactification. M. Filali and P. Salmi developed the concept of slowly oscillating functions to arbitrary locally compact topological groups. In this paper, we study the structure of $Lmc$-compactification of a semitopological semigroup by the slowly oscillating functions. In fact, we develop the concept of slowly oscillating functions to semitopological semigroups. | ||
کلیدواژهها | ||
Lmc- Compactification؛ The Stone-Cech Compactification؛ e-filter؛ Slowly oscillating functions | ||
مراجع | ||
[1] T. Alaste and M. Filali, slowly oscillating functions and closed left ideals of βS, Topology Appl. 156 (2009), 669–673. | ||
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