International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
1
FRI: 29-12-2017 Hall[D] Oral - Sec07 ( 1 )  
08:45 : 09:00
 
ALG - 2 EG Dr. Hader Elgendy haderelgendy42@hotmail.com
 
12
  Jordan quadruple systems with quadripotents  
  Hader A. Elgendy  
 
Damietta University
 
  ABSTRACT  
  The purpose of this paper is to extend the notations of the compatibility and orthogonality of tripotents in a Jordan triple system to that of quadripotents in a Jordan quadruple system. We provide the necessary and sufficient condition for the compatibility of quadripotents in a Jordan quadruple system. Moreover, we refine the Peirce decomposition of Jordan quadruple systems to be with respect to a system of orthogonal quadripotents and get the multiplication rules of the Peirce spaces. We also study the relation between minimal and primitive quadripotents in a Jordan quadruple system. Finally, we show that from any Jordan quadruple system with a quadripotent, we can define a Jordan algebra.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
2
FRI: 29-12-2017 Hall[D] Oral - Sec07 ( 2 )  
09:00 : 09:15
 
ALG - 4 EG Dr. wajih ashraf syedwajihashraf@gmail.com
 
12
  EPIMORPHICALLY PRESERVED HETEROTYPICAL SEMIGROUP IDENTITIES  
  WAJIH ASHRAF  
 
ALIGARH MUSLIM UNIVERSITY, INDIA
 
  ABSTRACT  
  It is shown that a particular classes of heterotypical semigroup identities whose both sides contain repeated variables and are preserved under epis in conjunction with all seminormal identities using Isbell's Zigzag Theorem.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
3
FRI: 29-12-2017 Hall[D] Oral - Sec07 ( 3 )  
09:15 : 09:30
 
ALG - 5 EG Prof. Abdelrahman Heliel Heliel9@yahoo.com
 
12
  Finite groups with certain kind of subgroups weakly c-supplemented  
  Mohamed Asaad , Abdelrahman Heliel  
 
Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, 62511, Egypt
 
  ABSTRACT  
  Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H)∩Hg ≤ H for every g belongs to G. A subgroup H of G is called weakly c-supplemented in G if G has a subgroup K such that G = HK and H∩K is an H-subgroup in G. In this talk, we investigate the structure of finite groups by means of weakly c-supplemented subgroups. Some recent results about supersolvability of finite groups are generalized to a saturated formation containing the class of all supersolvable groups.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
4
FRI: 29-12-2017 Hall[D] Oral - Sec07 ( 4 )  
09:30 : 09:45
 
ALG - 5 EG Assoc.Prof. Emam Emam eg_emom@yahoo.com
 
12
  An Operation on Intuitionistic Fuzzy Matrices  
  E.G.Emam  
 
Department of Mathematics,Faculty of Science, Zagazig University
 
  ABSTRACT  
  In this paper, we define an operation on the intuitionistic fuzzy matrices called the Gödel implication operator as an extension to the definition of this operator in the case of ordinary fuzzy matrices due to Sanchez and Hashimoto. Using this operator, we prove several important results for intuitionistic fuzzy matrices. Particularly, some properties concerning pre-orders, sub-inverses, and regularity . We concentrate our discussion on the reflexive and transitive matrices. This studying enables us to give a largest sub-inverse and a largest generalized inverse for a reflexive and transitive intuitionistic fuzzy matrix. Also, we obtain an idempotent intuitionistic fuzzy matrix from any given one .  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
5
FRI: 29-12-2017 Hall[D] Oral - Sec07 ( 5 )  
09:45 : 10:00
 
ALG - 6 EG Dr. Susan El-Deken sfdeken@hotmail.com
 
12
  EXTENSIONS OF HOMOGENEOUS SEMILOCAL RINGS I  
  SUSAN F. EL-DEKEN  
 
Department of Mathematics Faculty of Science, Helwan University Ain Helwan, 11790, Helwan, Egypt
 
  ABSTRACT  
  A ring R with Jacobson radical J(R) is a homogeneous semilocal ring if R/J(R) is simple artinian. In this paper, we study the transfer of the property of being homogeneous semilocal from a ring R to the formal power series ring R[[x]], the skew formal power series ring R[[x, α]] and the Hurwitz series ring HR. The results of the paper generalize those proved for commutative local rings. We also consider finite centralizing extensions proving that if the ring of matrices M n (R) is a homogeneous semilocal ring, then so is R. More generally, if e is an idempotent of a homogeneous semilocal ring S, then eSe is homogeneous semilocal.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
6
FRI: 29-12-2017 Hall[D] Oral - Sec11 ( 1 )  
04:00 : 04:15
 
ALG - 7 EG Ms. Asmaa Naser asmaanaser99@yahoo.com
 
12
  Non-commutative Unique Factorization Rings with Zero Divisors  
  M. H. Fahmy , A. M. Hassanian , A. Naser  
 
Math. Dept., Fac. of Sci., Al-Azhar Univ., Nasr city (11884), Cairo, Egypt.
Math. Dept., Fac. of Sci., Al-Azhar Univ., Nasr city (11884), Cairo, Egypt.
Math. Dept., Fac. of Women, Ain Shams Univ., Nasr city (Fax:24157804), Cairo, Egypt.
 
  ABSTRACT  
  It was shown by Galovich that if R is commutative UFR with identity, then the set of non-units in R is nilpotent, and R is local. In this paper we extend Galovich's results in non-commutative UFR.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
7
FRI: 29-12-2017 Hall[D] Oral - Sec11 ( 2 )  
04:15 : 04:30
 
ALG - 8 EG Ms. sarah Kamal El-Din sarakamal81@yahoo.com
 
12
  Radicals-domain and their generalizations  
  Mohamed H. Fahmy , Sabria Atallah , Abdel-Rahman Hassanein , Sarah Kamal El-Din  
 
Prof. of Math. Math. Dept., Faculty of Science, Al-Azhar University, Cairo, Egypt.
Prof. of Math. Math. Dept., Faculty of Science(Girls), Al-Azhar University, Cairo, Egypt.
Prof. of Math. Math. Dept., Faculty of Science, Al-Azhar University, Cairo, Egypt.
Ass.teacher. of Math. Math. Dept., Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt.
 
  ABSTRACT  
  This paper is two folded. One consider a well known series of generalization of domains such as reduced, symmetric, reversible,...,dedekind finite. The other consider the extension of those rings by their radicals, concentrating on prime and Jacobson radicals. We study their structure and deduce by examples that such rings are not related.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
8
FRI: 29-12-2017 Hall[D] Oral - Sec11 ( 3 )  
04:30 : 04:45
 
ALG - 9 EG Assoc.Prof. Mohammed Abuelhassan Saleem abuelhassan@yahoo.com
 
12
  Weierstrass points of order one on smooth septic curves  
  Mohammed A. Saleem , Waleed Khaled Elshareef  
 
Sohag University, Egypt.
Sohag University, Egypt.
 
  ABSTRACT  
  Weierstrass points on an algebraic curve C of genus g≥2, as well as their generalizations to higher orders, are of fundamental importance in analyzing the properties of C. For example, one can use them to construct projective embeddings for moduli spaces of curves. Moreover, they form an important invariant of a curve which is of particular use for the study of automorphisms. In [ ], the authors studied the geomtric classifications of the Weierstrass points of ordre on smooth projective plane septic curves but this classification was not complete. The goal of this paper is to find all the candidates for the 1-Weierstrasss points on smooth projective plane septic curves and to investigate the geometry of such points. The paper contains a variety of examples that illustrate and enrich the subject.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
9
FRI: 29-12-2017 Hall[D] Oral - Sec11 ( 4 )  
04:45 : 05:00
 
ALG - 10 EG Dr. Ahmed Ageeb ahmadageb@yahoo.com
 
12
  EXTENSIONS OF VON NEUMANN LOCAL RINGS  
  SUSAN F. EL-DEKEN , A. AGEEB  
 
Department of Mathematics, Faculty of Science Helwan University, Ain Helwan, 11790, Helwan, Cairo, Egypt
Department of Mathematics, Faculty of Science Al-Azhar University, Nasr City, 11884, Cairo, Egypt
 
  ABSTRACT  
  This paper introduces an extension of von Neumann local rings (called EVNL-ring). Among other results, we show that Zn is an EVNL-ring for all integers n > 1; the direct product of EVNL-rings is an EVNL-ring and the class of EVNL-rings coincides with the class of C-rings. Also, we study the case when a formal power series ring is an EVNL-ring.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
10
FRI: 29-12-2017 Hall[D] Oral - Sec11 ( 5 )  
05:00 : 05:15
 
ALG - 11 EG Ms. Zeinab Mohammed Ahmed zeinabmahran88@yahoo.com
 
12
  An algorithm for the shortest distance path for a graph  
  H. El- zohny , Afaf Abd El kadr , Z. Mohammed  
 
Al Azhar university
Al Azhar university
Al Azhar university
 
  ABSTRACT  
  In this article we determine the shortest distance path algorithm between any two distinct vertices for a given graph.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
11
FRI: 29-12-2017 Hall[D] Oral - Sec11 ( 6 )  
05:15 : 05:30
 
ALG - 13 EG Ms. Bsmaa EL gamudi basmagamudi@gmail.com
 
12
  Rigid rings with involution  
  Usama A. Aburawash , Bsmaa M. ELgamudi , Muna E. AbdUlhafed  
 
Faculty of Science-Alexandria University
Faculty of Science-Alexandria University
Faculty of Science-Alexandria University
 
  ABSTRACT  
  Working in the category of rings with involution, we introduce the property of *-rigid and α-*-rigid for *-rings. These new *-rings generalize that of rigid and α-rigid *-rings, respectively. We show also that α-rigid *-rings are α-*-rigid, α-*-reversible and α-*-Armendariz *-rings. Moreover, we give sufficient conditions for α-*-rigid, α-*-reversible and α-*-Armendariz *-rings to be α-rigid. Furthermore, We show that the properties of *-rigid, α-*-rigid, α-*-reversible and α-*-Armendariz are extended to its polynomial *-ring R[x], Laurent polynomial *-ring R[x, x-1], localization (S-1)R of R to S, Ore *-ring Q and Dorroh extension D(R,Z). Finally, we show that if a *-ring R is α-*-Armendariz then the skew polynomial R[x,α] is *-Baer (*-reversible) if and only if R is so.  
Code MPH STA NAM DSA CSC ALG TGA FUA DEA
page 01 25 43 55 61 67 79 90 102
 
     
 
International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org
 
Algebra and applications.
12
SAT: 30-12-2017 Hall Sec Poster (03) ( 1 )  
01:15 : 02:45
 
ALG - 1 EG Mr. Usama Wadie pasotier@gmail.com
 
12
  Usama's Method for solving linear systems of algebraic equations.  
  Usama Wadie Aziz Mousa  
 
an engineer of computer and automatic control-faculty of engineering ,Ain_shams university.
 
  ABSTRACT  
  This document gives My new method for solving linear systems of algebraic equations. I gave the name Usama's method for My Method where I introduced it in the last conference (ICMTD 2015). Usama's method contains equations and rules. Usama's method is more easy than Cramer's rule, where it produces an explicit formula for the solution ,but with less arithmatic operations. and also Usama's method is more easy than Gaussian elimination for producing the solution for the unique solution's linear systems, but without much division operations,where there is only one division operation.  
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