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Supra-Approximation Spaces Using Mixed Degree System in Graph Theory
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This paper is concerned with introducing and studying the o-space by using out degree system (resp. i-space by using in degree system) which are the core concept in this paper. In addition, the m-lower approximations, the m-upper approximations and ospace and i-space. Furthermore, we introduce near supraopen (near supraclosed) d. g.'s. Finally, the supra-lower approximation, supraupper approximation, supra-accuracy are defined and some of its properties are investigated.

Publication Date
Tue Jun 14 2022
Journal Name
Al-academy
Visual stimulus in the design of interior spaces
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The visual stimulus is the effective force in visual attraction that achieves visual and perceptual co-optation and is important in wooing the recipient, and many procedural processes in the design are interpreted on it as the visual stimulus achieves visual comfort and a sense of pleasure and gives (place) the interior space a transformation in its plastic structure as well as arousing attention through The kinetic rhythm and the formal diversity, which increases the possibility of breaking the routine and traditional constraints of design patterns through the coating and encapsulation of the vertical and horizontal levels . Thus, the research problem was launched based on the following question: What are the stimuli of the visual stimu

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Publication Date
Sat Jul 15 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Some games via semi-generalized regular spaces
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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

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Publication Date
Sun Mar 26 2023
Journal Name
Wasit Journal Of Pure Sciences
Pure Graph of a Commutative Ring
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A new definition of a graph called Pure graph of a ring denote Pur(R) was presented , where the vertices of the graph represent the elements of R such that there is an edge between the two vertices ???? and ???? if and only if ????=???????? ???????? ????=????????, denoted by pur(R) . In this work we studied some new properties of pur(R) finally we defined the complement of pur(R) and studied some of it is properties

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Publication Date
Wed Feb 01 2023
Journal Name
Baghdad Science Journal
Order Sum Graph of a Group
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The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained.

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Publication Date
Fri Aug 28 2020
Journal Name
Iraqi Journal Of Science
Maximal Ideal Graph of Commutative Rings
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In this paper, we introduce and study the notion of the maximal ideal graph of a commutative ring with identity. Let R be a commutative ring with identity. The maximal ideal graph of R, denoted by MG(R), is the undirected graph with vertex set, the set of non-trivial ideals of R, where two vertices I1 and I2 are adjacent if I1 I2 and I1+I2 is a maximal ideal of R. We explore some of the properties and characterizations of the graph.

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Publication Date
Sat Jan 30 2021
Journal Name
Iraqi Journal Of Science
A4-Graph of Finite Simple Groups
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Let G be a finite group and X be a conjugacy class of order 3 in G. In this paper, we introduce a new type of graphs, namely A4-graph of  G, as a simple graph denoted by A4(G,X) which has X as a vertex set. Two vertices,  x and y, are adjacent if and only if  x≠y and  x y-1=y x-1. General properties  of the A4-graph as well as the structure of A4(G,X) when G@ 3D4(2) will be studied.

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Publication Date
Fri Jun 24 2022
Journal Name
Iraqi Journal Of Science
Potential Using of Mixed Microalgae in the Bioremediation of Domestic Effluents
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Microalgae widely used for bioremediation of inorganic (NH4and PO4) nutrients as single isolates. This study aims to use a mix microalgae isolated from Dijlah river for bioremediation of municipal waste water .The experiments had been start with two different concentrations of nutrients. NH4-N values were 23.4 and 31.7mg/l, phosphorus PO4-P 6.7and 10.7 mg/ l and BOD5 were 66 and 83 mg/l. both cycles of treatment showed complete removal for NH 4-N and PO4-P levels after treatment were 1.7 and 0.7 mg/l for both of treatment cycle .Biological oxygen demand reduced to lowest value were18.9 in 2nd cycle while in 1st cycle of treatment reduced to21.3mg/l.The results showed that mix microalgae have the ability to remove nutrients and organic po

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Publication Date
Tue Aug 31 2021
Journal Name
Iraqi Journal Of Science
Soft Continuous Mappings in Soft Closure Spaces
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Soft closure spaces are a new structure that was introduced very recently. These new spaces are based on the notion of soft closure operators. This work aims to provide applications of soft closure operators. We introduce the concept of soft continuous mappings and soft closed (resp. open) mappings, support them with examples, and investigate some of their properties.

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Publication Date
Thu Apr 28 2022
Journal Name
Iraqi Journal Of Science
ON SN-SPACES
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The aim of this paper is to introduce and study the concept of SN-spaces via the notation of simply-open sets as well as to investigate their relationship to other topological spaces and give some of its properties.

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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
FIBREWISE IJ-PERFECT BITOPOLOGICAL SPACES
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The main purpose of this paper is to introduce a some concepts in fibrewise bitopological spaces which are called fibrewise , fibrewise -closed, fibrewise −compact, fibrewise -perfect, fibrewise weakly -closed, fibrewise almost -perfect, fibrewise ∗-bitopological space respectively. In addition the concepts as - contact point, ij-adherent point, filter, filter base, ij-converges to a subset, ij-directed toward a set, -continuous, -closed functions, -rigid set, -continuous functions, weakly ijclosed, ij-H-set, almost ij-perfect, ∗-continuous, pairwise Urysohn space, locally ij-QHC bitopological space are introduced and the main concept in this paper is fibrewise -perfect bitopological spaces. Several theorems and characterizations c

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