College of Science / Department of Mathematics

Jehad Jumah AL Jaraden


Professor
Jehad Jumah AL Jaraden

Curriculum Vitae
  • Major: Abstract Algebra
  • College: College of Science
  • Department(s): Mathematics Department
  • E-mail: jjaradeen@ahu.edu.jo
  • Phone No.: 00962-3-217900Ext. 6310

Jehad Al Jaraden  is an  Professor of Pure Math at Department of  Mathematics since 2007
He got his PhD in Abstract Algebra  from Gomel Stat University in Belarus at 1997  His research interests are on group theory,  solvable finite groups  and commutative ring
Jehad Al Jaraden participated in many scientific conferences and attended many workshops. Furthermore, he is a revivor for many ISI journals



 Abstract finite groups

 Solvable finite groups

  Commutative Ring

On c-Normal Subgroups of Finite Groups
  • Research Summary
    • Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some subgroup D satisfying 1 < |D| < |P| and study the structure of G under the assumption that all subgroups H of P with |H| = |D| are c-normal in G.
  • Research link
  • key words
    Finite group c-Normal subgroup Normal subgroup Saturated formation Sylow subgroup
Noetherian and Artinian Ternary Ring
  • Research Summary
    • The main aim of this article is to study some special elements (zero divisors and units) in ternary rings. Then, the main properties and concepts of noetherian and artinian ternary rings have been studied. In addition, new results on noetherian and artinian ternary rings have been investigated.
  • Research link
  • key words
    Ternary ring, Noetherian ternary ring, Artinian ternary ring, Zero divisor, Unit.
Some conditions for p-solubility of finite group
  • Research Summary
    • A subgroup H of a group G is c-subnormal in G if G has a subnormal subgroup T such that HT=G and T 3 H ⊆ HG. [1] Using this concept, in Jaraden obtain [1] some new conditions for solubility of a finite group are given. Here we obtain local versions of these results.
  • Research link
  • key words
    Finite group, p-soluble group, maximal subgroup, normal index, c-subnormal subgroup
Fuzzy folding of a fuzzy group and its fuzzy retractions
  • Research Summary
    • The main target of this paper is to discuss whether the fuzzy folding of a fuzzy group is a fuzzy group or not. In addition, the relation between the fuzzy folding and the fuzzy retractions are obtained.AMS Mathematics Subject Classiftcation
  • Research link
  • key words
    Fuzzy group, Fuzzy retraction, Fuzzy folding.
Some commutativity criteria for prime rings with differential identities on Jordan ideals
  • Research Summary
    • In this article, we present some commutativity theorems for a ring R equipped with a generalized derivation satisfying certain differential identities on Jordan ideals of R. Some related results for prime rings are also discussed. Finally; we provide examples to show that the assumed restrictions are not superfluous.
  • Research link
  • key words
    Commutativity, generalize , derivations, Jordan ideals, prime rings, rings with involution
p--Local formations whose length≤ 3.
  • Research Summary
    • Throughout this paper, all groups are finite. Recall that a formation is a homomorphic F of groups such that each group G has a smallest normal subgroup (denoted by G F ) whose quotient is still in F. A formation F is said to be p-local if it contains each group G with G/(Φ(G) ∩ Op(G)) ∈ F. Our main goal here is to prove the following theorem
  • Research link
  • key words
Semi-derivations acting on Jordan ideals of rings with involution
  • Research Summary
    • Our aim in this paper is to prove some properties of semi-derivations centralizing on Jordan ideals of rings with involution. Some well known results characterizing commutativity of prime rings by derivations have been generalized by using semi-derivations. Moreover, we provide examples to show that our hypotheses are not superfluous.
  • Research link
  • key words
    Semi-derivation, Jordan ideal. Prime ring
On S-quasinormal subgroups and some applications
  • Research Summary
    • A subgroup H of a group G is called S-quasinormal in G if it permutes with every Sylow subgroup of G.The structure of the group G has been studied earlier by many authors under the assumption that the maximal or the minimal subgroups of the Sylow subgroups are well situated in G. In the present paper we are cincerned with the study of the structure of a finite group under the assumption that some subgroups of G are S-quasinormal in G, and we discuss some methods and applications.
  • Research link
  • key words
    Finite group, saturated formation; S-quasinormal subgroup, Sylow subgroup, supersoluble group, representations of groups
On Some Finite Arithmetic Groups and Generalized Permutation Modules
  • Research Summary
    • We investigate integral Galois stable representations of finite groups over local and global fields and their integers under the ground field extensions related to permutation modules. We consider normal extensions E/F and subgroups G ⊂ GLn(E) stable under the natural operation of the Galois group of E/F with some extra integrality conditions. The possible realization fields of G with these integrality conditions are of special interest, and we consider certain criteria of integrality for representations in GLn(E). We also study a series of related arithmetic problems and examples.
  • Research link
  • key words
    Galois stability, integral representations, realization fields, permutation lattices, number fields, local fields.
On S-quasinormal subgroups of finite group
  • Research Summary
    • A subgroup H of a group G is called S− quasinormal in G if it permutes with every Sylow subgroup of G. In this paper, we extend the study on the structure of a finite group under the assumption that some subgroups of F∗(G) are S− quasinormal in G.
  • Research link
  • key words
    Finite group, saturated formation; $S$-quasinormal subgroup, Sylow subgroup, supersoluble group.
Finite Groups with X-permutable Maximal Subgroups of Sylow Subgroups.
  • Research Summary
    • Let A,B be subgroups of a group G and ∅≠X⊆G. Then A is said to be X-permutable with B if there exists an element x∈X such that AB x =B x A. In this paper we study finite groups in which maximal subgroups of Sylow subgroups are X-permutable either with maximal subgroups or with Sylow subgroups.
  • Research link
  • key words
    p-soluble group; p-supersoluble group; p-nilpotent group; Sylow subgroup; Maximal subgroup; X-permutable subgroup.
On formula-Normal Subgroups of Finite Groups
  • Research Summary
    • Let G be a finite group. We say that a subgroup H of G is -normal in G if G has a subnormal subgroup T such that TH = G and (H ∩ T)HG/HG is contained in the -hypercenter of G/HG, where is the class of the finite supersoluble groups. We study the structure of G under the assumption that some subgroups of G are -normal in G.
  • Research link
  • key words
    finite groupsaturated formation-normal subgroupSylow subgroupnormal subgroupmaximal subgroup
On Supersolubility of Some Finite Factorizable Groups
  • Research Summary
    • It is proved that a finite group G=AB is supersoluble provided that A and B are such supersolube subgroups of G that every cyclic subgroup of A permutes with every Sylow subgroup of B and if in return every cyclic subgroup of B permutes with every Sylow subgroup of A.
  • Research link
  • key words
    finite group supersoluble group permutable subgroups product of subgroups

      Jaraden Jehad, "On Formations with Systems (normally) Hereditary Subformations". Algebra and Cybernetics. Proceeding of International Conference devoted to the memory of the academician S. A.Chunihin.Part 1, Gomel.1995. p. 63

       Jaraden Jehad, "p-local Formations with Maximal Nilpotent p-local SubFormation". Proceeding of International Conference on Algebra, Geometry and its Applications, Cairo University, Egypt 2001.

        Jaraden Jehad, "On Bear Formation", Proceeding of Second International Conference, Al-albayt University. Mafrag, Jordan, 2002

·        Jaraden Jehad, "Some Conditions for p-solubility of Finite Group" Proceedings of International Conference on Geometric Group Theory: 2004, Roma, Italy.

        Jaraden Jehad, "Finite Group with Given c-permutable subgroups", First Arab Conference in Math. Applied Science University, Jordan, 2004. 6. Invited for a research project at Ohio State University, USA (Summer 2002).

·       Jaraden Jehad, "On $s$-permutable subgroups of finite groups" Proceedings of International Conference on Embeddings of Graphs and Groups into Hilbert and Banach spaces with applications, EPFL, Lausanne, Switzerland 2007.

·        Jaraden Jehad, “On S-quasinormal Subgroups of Finite Group “ Proceeding of the Third International Conference on Mathematical Sciences – ICM2008, UAEU, Al Ain.

       Jaraden Jehad,“On weakly c-normal subgroup of finite groups” Proceedings of international Conference on Groups and Model Theory Mülheim an der Ruhr, Germany, 2011.

        Jaraden Jehad, "Element of Height 3 of Lattice of p-local formations" The International Conference on Algebra and its Applications 26-28 April 2017, Errachidia, Morocco.

       Jaraden Jehad "Classification p-Saturated formation with Maximal Nilpotent p-Saturated Subformation " International Conference on Mathematics and Related Sciences 30 April - 4 May 2018, Belek- Antalya, Turkey.

Jaraden Jehad " Fuzzy folding of a fuzzy group and its fuzzy retractions" The Third International Scientific Conference for Engineering and Science, 24 - 30 October 2019, Antalya, Turkey

1.    Curriculums Preparation Committee Member

2.    Students’ Problems Investigation Committee Member

3.    Micro-Strategic Plan Committee Member

4.    University Council Member

5.    Faculty Council Member

6.    Faculty Budget Committee Member

7.    Faculty Equipment Specification Committee Chairman

8.    Faculty Curriculums Preparation Committee Member

   1 Murhaf Alabdullah (Ph.D. student), Noetherian and Artinian Ternary  Rings, University of Aleppo (Syria), 2019-2022
2-   Mohamad Nor Bani Amer(Master Student), On c-Subnormal Subgroup of Some Classes of Finite Groups, Al Hussein Bin Talal University, 2021-2022.
3-   Eklas Hussein Salamh Alttawarh (master student), Some Differential Identities for Ring Involving Prime Ideals, Al Hussein Bin Talal University, 2019-2020.
4-   Kawlah Rawajfah (master student), Some Applications of Sylow Theorems, Al Hussein Bin Talal University , 2018-2019.
5-   Mashaer Moraya Farajallah Al-Saeedi (master student), On p-Subgroups of a Finite Group, Taibah University (KSA), 2012-2013.

Sept.  2007–Present       

Professor, Department of Mathematics, College of Science, Al-Hussein Bin Talal University, Ma'an, Jordan.

 

February 2012 – August 2015     

    Professor, Department of Mathematics, College of Science     Taibah University, KSA.

 

Sept. 2008 – August 2009

 

 

 

Sept. 2007 – August 2008

 

 

Sept.1997– August 2000            

    Professor , Department of Mathematics, College of Science Michigan Technological University, USA.

 

 

Professor,  Department of Mathematics, College of Science Tafila Technological University , Jordan .

 

Assistant Professor, Department of Mathematics, College of Science, Applied  Science University, Jordan.

 

 

 

Sept. 2011 – Jun 2012

 

   

Sept. 2007 - Sept. 2008 

 

Sept. 2005 – Sept. 2007     

 

       Sept. 2003–Sept. 2004     

 

 Sept. 2001 – Sept. 2003      

 

 

Dean of Faculty of Science, Al- Hussein Bin Talal University, Ma'an, Jordan

 

   Dean of the Technical community College, Tafila    Technological University , Jordan

 

Dean of Faculty of Science, Al- Hussein Bin Talal University, Ma'an Jordan.

 

Dean of Scientific Research:, Al- Hussein Bin Talal University, Ma'an Jordan.

 

Chairman of Mathematics Department, College of Science, Al- Hussein Bin Talal University, Ma'an, Jordan.

Pure Mathematics 

  Abstract Algebra  M. Sc 

Special Topics in Abstract Algebra
        Discrete Mathematics
        Abstract Algebra (1 +2)
       Principle of Statistics
       Calculus (1+2+3)
     Linear Algebra (1 +2)
     Number Theory
        Numerical Analysis
        Set Theory
        Operations Research 
Topology 

Academic qualifications and certificates

1993-1997    Ph.D., in Mathematics, Gomel State University, Gomel, Belarus
 1987-1993 ,Sc. and B.Sc.in Mathematics, Gomel State University, Gomel, Belarus

office hours

9-10 جميع الايام

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