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jih-2428
λ–Algebra with Some of Their Properties
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    The objective of this paper is, firstly, we study a new concept noted by algebra and discuss the properties of this concept. Secondly, we introduce a new concept related to the algebra such as smallest algebra. Thirdly, we introduce the notion of the restriction of algebra on a nonempty subset  of and investigate some of its basic properties. Furthermore, we present the relationships between field, monotone class, field and algebra. Finally, we introduce the concept of measure relative to the algebra and prove that every measure relative to the   is complete.

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Publication Date
Mon May 20 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field
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     The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function  on field and many of its properties and characterizations are given.

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Publication Date
Mon Apr 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On SAH – Ideal of BH – Algebra
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     The aim of this investigation is to present the idea of  SAH – ideal , closed SAH – ideal and closed SAH – ideal with respect to an element ,  and s-  of BH – algebra .

We detail and show  theorems which regulate the relationship between these ideas and provide some examples in BH – algebra .

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Publication Date
Wed Mar 12 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Study of salivary IgA concentrations, salivary flow rate in patients with β –thalassemia major in Missan Governorate
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Background: Beta-thalassemia major is the most common monogenic known disorder in the Middle East, characterized by anomalies in the synthesis of the beta chains of hemoglobin resulting in variable phenotypes ranging from severe anemia to clinically asymptomatic Individuals. This study aimed to evaluate salivary flow rate and salivary IgA in β-thalassemia major patients. Since many oral and systemic conditions manifest themselves as changes in the flow and composition of saliva the dental practitioner is advised to remain up-to-date with this issue. Materials and methods: The study samples consist of (60) subjects, patients group composed of (30) patients with β –thalassemia major, age rang (5-23) years and (30) healthy locking

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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
Some Results of (α, β) Derivations on Prime Semirings
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      This paper investigates the concept (α, β) derivation on semiring and extend a few results of this map on prime semiring. We establish the commutativity of prime semiring and investigate when (α, β) derivation becomes zero.

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Publication Date
Sun Jun 02 2019
Journal Name
Baghdad Science Journal
Properties of a Complete Fuzzy Normed Algebra
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          The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy normed algebra  with identity  and  is an ideal in  is given. Moreover the proof of the resolvent set of a non zero element in complete fuzzy normed space is equal to the set of complex numbers is given. Finally basic properties of the resolvent space of a complete fuzzy normed algebra is given.

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Publication Date
Thu Apr 27 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Modeling of The Effect of Grain Size and La2O3 Doping on Sintering α – Cristobilite
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   In this research the effect of grain size and effect of La2O3 doping on densification  rate for the  initial and intermediate  stages of sintering were studied .The experimental results for α – cristobilite powder are modeled using ( L2-Regression ) technique in studying  the effect of grain size and La2O3 doping using  three particles size (6.12, 8.92, 13.6 ) µm, with undoped  initial powder and with La2O3 doping . The mathematical simulation showes that the densification rates increase as the initial particles sizes decrease and vice versa. This shows that the densification depends directly on the initial compact density which reflects the contacts area between the particles . How

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Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis and Characterization of Some Mixed-Ligand Complexes Containing N-Acetyl Tryptophan and αPicoline with Some Metal Salts
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Some metal ions (Mn+2, Fe+2, Co+2,Ni+2,Cu+2 and Cd+2) complexes of  N-acetyl Tryptophan (AcetrpH) and  α-Picoline (α-Pic) have been synthesized and characterized on the basis of their FTIR,UV-Vis spectroscopy , conductivety measurements , magnetic susceptibility.  From the results obtained, the following general formula has suggested for the prepared complexes.            [M+2(Acetrp)2(α-Pic)2]. XH2O Where  M = Mn+2, Fe+2, Co+2,Ni+2,Cu+2 and Cd+2                         X =  0  ,    0   ,  &nb

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Publication Date
Wed Sep 12 2018
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On θ-Totally Disconnected and θ-Light Mappings
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        In our research, we introduced new concepts, namely *and **-light mappings, after we knew *and **-totally disconnected mappings through the use of -open sets.

Many examples, facts, relationships and results have been given to support our work.

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Publication Date
Sun Sep 03 2023
Journal Name
Al-mansour Journal
SOME CLASSAS OF FULL STABLITY BANACH ALGEBRA MODULES
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The research is an article that teaches some classes of fully stable Banach - Å modules. By using Unital algebra studies the properties and characterizations of all classes of fully stable Banach - Å modules. All the results are existing, and they've been listed to complete the requested information.

Publication Date
Fri Apr 01 2022
Journal Name
Baghdad Science Journal
Fuzzy Real Pre-Hilbert Space and Some of Their Properties
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In this work, two different structures are proposed which is fuzzy real normed space (FRNS) and fuzzy real Pre-Hilbert space (FRPHS). The basic concept of fuzzy norm on a real linear space is first presented to construct  space, which is a FRNS with some modification of the definition introduced by G. Rano and T. Bag. The structure of fuzzy real Pre-Hilbert space (FRPHS) is then presented which is based on the structure of FRNS. Then, some of the properties and related concepts for the suggested space FRN such as -neighborhood, closure of the set  named , the necessary condition for separable, fuzzy linear manifold (FLM) are discussed. The definition for a fuzzy seminorm on  is also introduced with the prove that a fuzzy seminorm on

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