دكتورة هيام حسن كاظم

This paper holds to establish a soft compact map and to investi-gate its associations with soft compact maps, almost soft compact maps, besides mildly soft compact maps which are utilized from the relations between their spaces under some conditions. Consequently, the composition factors of soft compact maps with soft compact maps, almost soft compact maps,and mildly soft compact maps are studied based on the previous association between them. Many examples are given to explain the relationships between thetopologies and relations of the soft set.

In this paper, we have introduced the definition of paracompact-ly closed set and paracompactly closed map. The relationship between theaforementioned map and different types of paracompact map has been proven under certain conditions. Finally, we discussed the composition of the para-compactly closed map.

A general theory of fuzzy sets was described employingtexture spaces. This work aimed to introducetwo concepts in texture theory, namely set-texture and degree-texture spaces using topological spaces and new proper-ties. Moreover, many examples were studied to investigate new texture spaces. The new concepts will use in other topological spaces and find another applica-tion on it.

This paper holds to establish a soft pre-compact map and to investigate its associations with soft pre-compact maps, almost soft pre-compact maps, A-almost soft compact maps, A*-almost soft compact maps, mildly soft semi-compact maps, M-mildly soft compact maps besides M*-mildly soft compact maps which are utilized from the relations between their spaces under some conditions or without conditions. Consequently, the composition factors of soft pre-compact maps with soft pre-compact maps, almost soft pre-compact maps, and mildly soft pre-compact maps, A-almost soft compact maps, M-mildly soft compact maps are studied based on the previous association between them. Many examples are given to explain the relationships between the topologies and relations of the soft set.

This work is aimed to introducea new topology on a graph, namely the degree topology. This topology is defined bythe degree of the verti-ces of the graphs.We find the degree topology for certain types of graphs and determine their types. The degree topology for thecomplete graph

AbstractIn this paper, we show that each soft topological group is a strong small soft loop transfer space at the identity element. This indicates that the soft quasitopological fundamental group of a soft connected and locally soft path connected space,is a soft topological group.

Abstract. The moduli space has concept emerged to classify objects of certain categories by carrying out their parameterization. In fact, the theory of moduli space has been widely appreciated from a distant time in diverse fields not only of mathematics, but also of physics. This paper is devoted to establish the moduli space of the category of the mathematical model fuzzy topographic topological mappings, which is adopted in solving neuromagnetic inverse problem during a seizure. In this study, the moduli functor of fuzzy topographic topological mapping was constructed. The applicability of the theory of moduli space is uniquely revealed with specifying its sort.

Abstract.The mathematical model Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem during a seizure for determining the location of epileptic foci. The aim of this paper is to investigate various properties for the components and mappings of FTTM. As a result, various kinds of monotonicity have been assured for its mappings. Furthermore, each component of FTTM was demonstrated as a topological group, unicoherent and indecomposable.

Abstract: The theory of soft set is one of the most important method in solving uncertainties in various real-life problems. The main aim of this paper is to define soft multi fundamental group. The notion of soft multi group, soft multi path, soft multi loop, and soft multi homotopy are to be introduced and their basic properties are also to be investigated. Further, the concept of soft multi homeomorphism is introduced. Added to, we established certain properties and operations on soft multi fundamental group.

Abstract: The theory of soft set is one of the most important method in solving uncertainties in various real-life problems. Recently, there are number of theories to resolve these problems, as soft set theory. In this work, the concept of soft fundamental group was defined. For this purpose, we initiated several definitions, such as soft path and soft homomorphism. Added to, we established certain properties and operations on that new concept.

Topology is a branch of mathematics, developed mainly from analysis. One of the basic tools of topology is mapping, which topologists defined several kinds of it. The type we will concentrate upon in this work is confluent mapping which had been denominated by Professor B. Knaster and introduced in 1964 at first by J. J. Charatonik in 1964, and he explained that these mappings are generalizations of both the class of monotone mappings and the class of open mappings.

In this paper, we introduce and study contra -T * - continuous functions these are functions f: X→Y such that the inverse image of every open set in Y is T *- closed in X. Several properties of this type of functions are proved.

The mathematical model Fuzzy Topographic Topological Mapping (FTTM) is used to solve neuromagnetic inverse problem during a seizure in order to determine the location of epileptic foci. Continuum and separation axioms are topological properties. In this paper, the properties of connectedness, compactness, and separations for the components of FTTM are presented.

Moduli space is an area of pure mathematics. It is concerns with classification of mathematical objects and their equivalent structures. Generally, a moduli space is defined as the collection of isomorphism classes of various types of objects. There are many types of moduli spaces. However, this paper contains an overview of two important classes of moduli spaces, namely Riemann surfaces and curves.

The main purpose of this paper is to introduce and study a new type of compact spaces which is r-compact space where a topological space (X,τ) is said to be an r-compact space if every regular open cover of X has a finite subfamily whose closures cover X . Several properties of an r-compact space are proved.

Inthis work we study quasi-confluent mappings, where we the relation between these mappings and confluent mappings. Also, we study some operations on quasi-confluent mappings, such as: the pullback, factrization, composition and product of quasi-confluent mappings

In this work, we introduce and study N-proper function by using the concept of N-closed function .A function f: (X,τ)→(Y,σ) from topological space (X,τ) into a topological space (Y,σ) is said to be a N-proper function if f is continuous , N- closed ,and for every y∈Y, f^(-1) (y) is compact. Several properties of N-proper functions are proved.

In this work, we introduce and study new types of connected and compact spaces, namely T^* -connected and T^*- compact spaces, where T is an operator associated with the topology τ on a non empty set X. Several properties of these spaces are proved.

In this work, we introduce a new mapping, which is a locally weakly confluent mapping, and we study the relation between this mapping and some other forms of confluent mapping. Moreover, we prove several results about some operations on locally weakly confluent mapping.

In this work, we introduce three types of mappings, namely s, s^*, s^(**) - mappings of semi confluent, joining, and weakly confluent mappings. Two types are formulated in terms of components and of quasi- components, respectively, of connected closed subset of the range space, while the third one is formulated in terms of connectedness between subsets of the domain space. Some basic relations concerning these mappings are studied.

In this work, we study confluent mapping, where we study some weaker and stronger forms of these mappings and we study the different relations between these forms and confluent mappings. Also, we study some operations on confluent mappings, such as: the composition and the pullback of confluent mappings. Finally, we study some confluent properties.

In this work, we introduce a new concept : H - set ( or H - open set) as a generalization of semi - open set.Most of the theorems which are valid for semi - open sets will be also valid for H - sets, we introduce a new type of continuous functions.

An R-module M is said to be π-F-regular if for every tϵR and mϵM, there exist rϵR and a positive integer n such that r^n t r^n m= r^n m. The main purpose of this paper is to study the relation between the regular topological space and the π-F-regular module of the top R-module. We prove if M is a finitely generated top R-module, then M is π-F-regular iff spec M is a regular space.

موقعي على researchgate https://www.researchgate.net/profile/Hiyam-Kadhem

موقعي على google scholar https://scholar.google.com/citations?user=0mez9_4AAAAJ&hl=en

مقوم علمي لعدد من البحوث المقدمه الى المؤتمر العلمي الدولي الرابع / المؤتمر العلمي الوطني السابع ISC-SNC-2023 ، الذي سيعقد في كلية الحلة الجامعية في الحلة ، بابل-العراق في الفترة من 24-26 ايلول 2023.

مقوم علمي لبحثين مقدمين للمؤتمر الدولي لتكنولوجيا المعلومات والرياضيات التطبيقية والإحصاء 2023 ICITAMS 20-22 اذار 2023 الديوانية ، العراق

مقوم علمي للبحث المقدم لمجلة البحوث الآسيوية للرياضيات FIXED POINTS IN S-METRIC SPACES VIA SIMULATION FUNCTION

بأشراف عميد كلية التربية في جامعة الكوفة وبمتابعة من رئيس قسم علوم الحاسوب، نظم طلبة قسم الحاسوب وضمن مشروع زراعة مليون شجرة حملة تطوعية لزراعة شتلات في حدائق الكلية ،شارك فيها الملاك التدريسي لقسم علوم الحاسوب وطلبته ومن ضمهم الاستاذ الدكتور هيام حسن كاظم.

منح عميد كلية التربية في جامعة الكوفة الاستاذ الدكتور سيروان عبد الزهرة الجنابي كتب شكر وتقدير للتدريسين الذين شاركوا بألقاء محاضرات في ندوة الكلية المقامة للتوعية بمخاطر المخدرات والادمان بالتعاون مع جامعة الكفيل ، وشمل التكريم الاستاذ الدكتور هيام حسن كاظم.

اقامت كلية التربية في جامعة الكوفة ندوة علمية عن المخدرات والمضاعفات – وخطوات العلاج في جامعة الكفيل، بهدف الحد من ظاهرة انتشار المخدرات بالتعاون مع كلية التقنيات الطبية والصحية في جامعة الكفيل، تضمنت الندوة القاء ثلاث محاضرات ، وكانت المحاضرة الثالثة فكانت للأستاذ الدكتور هيام حسن كاظم تطرقت فيها الى المخدرات الرقمية ومخاطرها على الفرد والمجتمع.

مقوم علمي لعدد من البحوث المقدمة للمجلة العالمية التقدم في الرياضيات وعلوم الحاسوب ومنها البحوث: 1) On Representations of the Lorentz Group. 2) Some consequences of Bertrand's extended postulate.

مقوم علمي لعدد من البحوث المقدمة لمجلة البحوث الآسيوية للرياضيات ومنها البحوث: 1) COMMON FIXED POINT THEOREM FOR (????, ????)–MULTI-VALUED MAPPINGS IN CONE ????-METRIC SPACES OVER BANACH ALGEBRA 2) ALMOST n-RICCI SOLITONS ON RICCI-PSEUDOSYMMETRIC (k; ?)-PARACONTACT MANIFOLDS 3) Mathematical modeling in farming business based on Pythagorean fuzzy rough topological structures.

مقوم علمي لعدد من فصول الكتب المقدمة الى دار النشر العالمية B P International 1) a Book Chapter entitled The 3-sphere instead of Hilbert space 2) the Book Chapter Titled: J-CLOSED FUNCTIONS VIA J-CLOSED SETS IN TOPOLOGICAL SPACES 3) a Book Chapter entitled Revisiting Quadrature, Infinity, and the Numbers

مقوم علمي لعدد من بحوث المؤتمر الدولي لتكنولوجيا المعلومات والرياضيات التطبيقية والإحصاء 2023(ICITAMS 2023 ).

نشر بحث سكوبس بعنوان On hyper-monotonicity of maps

نشر بحث سكوبس Preserving Kelley space by certain types of compact maps

مشاركة ببحث في المؤتمر الدولي الأول للفيزياء والرياضيات (1 St ICPM 2022) في جامعة الانبار كلية التربية للعلوم الصرفة (Paracompact Action)

مشاركة ببحث في المؤتمر الدولي الأول للفيزياء والرياضيات (1 St ICPM 2022) في جامعة الانبار- كلية التربية للعلوم الصرفة (Characterizations of Paracompact Map)

المشاركة في المؤتمر العلمي الدولي الرابع لجامعة الكفيل (ISCKU 2022) بعنوان (أCertain Types of Paracompact Actions).

نشر بحث علمي في مجلة واسط للعلوم الصرفة بعنوان (Paracompactly closed map)

لمادة الرياضيات للمرحلة الاولى- قسم علوم الحاسوب- كلية التربية- جامعة الكوفة

للفصل الدراسي الاول -الاربعاء 9-3-2022

للفصل الدراسي الاول -الثلاثاء 22-3-2022