In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the quotient on generalizations of topological group in particular -topological group. Moreover, we model a robotic system which relays on the quotient of -topological group.

In this research, a new application has been developed for games by using the generalization of the separation axioms in topology, in particular regular, Sg-regular and SSg- regular spaces. The games under study consist of two players and the victory of the second player depends on the strategy and choice of the first player. Many regularity, Sg, SSg regularity theorems have been proven using this type of game, and many results and illustrative examples have been presented

In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.

Wer es heute beabsichtige, eine detaillierte Arbeit über die Rezeption des Nibelungenliedes zu schreiben, könnte damit einfach mehrere Bände wahrnehmen. Deswegen wird es sinnvoller sein, den Forschungsprozess auf bestimmten, aber wichtigen Aspekten zu skizzieren. Darum kann nur unter strikter Beschränkung auf die Hauptrichtungen, Hauptprobleme und Hauptfiguren des Liedes gewagt werden.

Der irakische Kritiker Moḥammed Šawqi Moḥammed Ḫalifa bedankt sich bei den „Dichtern des 12.Jahrhunderts, weil sie uns die deutschen Epen übertragen haben.“[1] Diese Epen kann man auch als Mythen betrachten, in denen sich Sagen und Märchen vermischen.   

Der ägyptische christliche Schriftsteller und Dramaturg Alfred
Faradj wurde 1929 in El-Zaqazek/ Alexandria geboren. An der
philosophischen Fakultät der Universität Alexandria erhielt er 1949 den
B.A. Grad. Von 1949 bis 1950 arbeitete er als Lehrer und als
Theaterkritiker bei verschiedenen Zeitungen wie Akhir Sa’a, Ros El-
Yousef, El- Ghad und El-Djiel. 1952 erhielt er den Sultan-ElAwies-Preis
für Literatur. Die goldene Medaille für Künste und Literaturschaffen
bekam Faradj 1956 für seinen ersten Einakter Saut Missr’/ Die Stimme
Ägyptens. Dieses Stück wurde im Dezember 1956 am Nationaltheater in
Kairo aufgeführt und von Hamdy Ghaith inszeniert.

In this paper, we will focus to one of the recent applications of PU-algebras in the coding theory, namely the construction of codes by soft sets PU-valued functions. First, we shall introduce the notion of soft sets PU-valued functions on PU-algebra and investigate some of its related properties.Moreover, the codes generated by a soft sets PU-valued function are constructed and several examples are given. Furthermore, example with graphs of binary block code constructed from a soft sets PU-valued function is constructed.

(disputed areas) before the establishment of the national government in Iraq in 1921, had to search for Arab tribes and clans in which the recipe group is available as a social organization coherent based on the foundations of several of them tribalism and her Land relates know Deira in those areas during the period that preceded the establishment of the national government in Iraq in 1921, and based on the inter girls primary sources and published mostly before the establishment of the national government in Iraq, the source of their information search and direct inquiry.
Research has proved that the tribes and clans of Arab exist in all districts described by (disputed), except (judicial Akre and Tilkaif) and varying degrees of time

In this paper, some basic notions and facts in the b-modular space similar to those in the modular spaces as a type of generalization are given.  For example, concepts of convergence, best approximate, uniformly convexity etc. And then, two results about relation between semi compactness and approximation are proved which are used to prove a theorem on the existence of best approximation for a semi-compact subset of b-modular space.

We introduce and discuss recent type of fibrewise topological spaces, namely fibrewise soft bitopological spaces. Also, we introduce the concepts of fibrewise closed soft bitopological spaces, fibrewise open soft bitopological spaces, fibrewise locally sliceable soft bitopological spaces and fibrewise locally sectionable soft bitopological spaces. Furthermore, we state and prove several propositions concerning these concepts.