en jalali 1399 1 1 gregorian 2020 4 1 15 1 online 1 fulltext

en Let G=(V(G),E(G)) be a connected simple undirected graph with non empty vertex set V(G) and edge set E(G). For a positive integer k, by an edge irregular total k-labeling we mean a function f : V(G)UE(G) --> {1,2,...,k} such that for each two edges ab and cd, it follows that f(a)+f(ab)+f(b) is different from f(c)+f(cd)+f(d), i.e. every two edges have distinct weights. The minimum k for which G has an edge irregular total k-labeling is called the total edge irregularity strength of graph G and denoted by tes(G). In this paper, we determine the exact value of total edge irregularity strength for staircase graphs, double staircase graphs and mirror-staircase graphs. Total edge irregularity strength, Staircase graphs, Double staircase graphs, Mirror-staircase graphs 1 13 http://ijmsi.ir/browse.php?a_code=A-10-2794-1&slc_lang=en&sid=1 2017/07/26 1396/5/4 2019/05/9 1398/2/19 Y. Susanti Dept. of Mathematics Universitas Gadjah Mada inielsusan@yahoo.com 0031947532846006994 0031947532846006994 Yes Dept. of Mathematics Universitas Gadjah Mada Y. I. Puspitasari Surakarta Indonesia yuliaindahp.mail@gmail.com 0031947532846006995 0031947532846006995 No Surakarta Indonesia H. Khotimah Department of Mathematics Universitas Muhammadiyah Pringsewu Lampung Indonesia husnul.khotimah18@mail.ugm.ac.id 0031947532846006996 0031947532846006996 No Department of Mathematics Universitas Muhammadiyah Pringsewu Lampung Indonesia

en Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is not greater than 500. We exhibit a collection of (probably infinitely many) rational numbers k for which this Diophantine equation is satisfied. Finally, appealing these observations, we conjecture that the above result is true for all rational numbers k. Diophantine equation, Elliptic curve. 15 21 http://ijmsi.ir/browse.php?a_code=A-10-2361-1&slc_lang=en&sid=1 2017/07/262017/01/7 1395/10/18 2019/05/92020/03/4 1398/12/14 H. Shabani-Solt. Urmia University h.shabani.solt@gmail.com 0031947532846008745 0031947532846008745 No Urmia University N. Yusefnejad Urmia University yusefnejadnazanin@yahoo.com 0031947532846008746 0031947532846008746 No A. S. Janfada Urmia University asjanfada@gmail.com 0031947532846008747 0031947532846008747 Yes Urmia University

en It is well-known that the sum of two $z$-ideals in $C(X)$ is either $C(X)$ or a $z$-ideal. The main aim of this paper is to study the sum of strongly $z$-ideals in ${mathcal{R}} L$, the ring of real-valued continuous functions on a frame $L$. For every ideal $I$ in ${mathcal{R}} L$, we introduce the biggest strongly $z$-ideal included in $I$ and the smallest strongly $z$-ideal containing $I$, denoted by $I^{sz}$ and $I_{sz}$, respectively. We study some properties of $I^{sz}$ and $I_{sz}$.   Also, it is observed that the sum of any family of minimal prime ideals in the ring ${mathcal{R}} L$ is either ${mathcal{R}} L$ or a prime strongly $z$-ideal in ${mathcal{R}} L$. In particular, we show that the sum of two prime ideals in ${mathcal{R}} L$ such that are not a chain, is a prime strongly $z$-ideal. Frame, Ring of real-valued continuous functions, z-Ideal, Strongly z-ideal. 23 34 http://ijmsi.ir/browse.php?a_code=A-10-2462-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/12 1395/11/24 2019/05/92020/03/42019/11/7 1398/8/16 A. A. Estaji Hakim Sabzevari University aaestaji@gmail.com 0031947532846006957 0031947532846006957 Yes Hakim Sabzevari University A. Karimi Feizabadi Islamic Azad University akarimi@gorganiau.ac.ir 0031947532846006958 0031947532846006958 No Islamic Azad University M. Robat Sarpoushi Hakim Sabzevari University M.sarpooshi@yahoo.com 0031947532846006959 0031947532846006959 No Hakim Sabzevari University

en Let $p=(q^4+q^3+q^2+q+1)/(5,q-1)$ be a prime number, where $q$ is a prime power. In this paper, we will show $Gcong mathrm{PSL}(5,q)$ if and only if $|G|=|mathrm{PSL}(5,q)|$, and $G$ has a conjugacy class size $frac{| mathrm{PSL}(5,q)|}{p}$. Further, the validity of a conjecture of J. G. Thompson is generalized to the groups under consideration by a new way. Conjugacy class size, Prime graph, Thompson's conjecture. 35 40 http://ijmsi.ir/browse.php?a_code=A-10-355-2&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/9 1396/1/20 2019/05/92020/03/42019/11/72017/08/14 1396/5/23 A.R. Khalili Asboei Department of Mathematics, Farhangian University khaliliasbo@yahoo.com 0031947532846006960 0031947532846006960 Yes Department of Mathematics, Farhangian University

en In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a Banach contractive type mapping in algebraic cone metric spaces associated with an algebraic distance and endowed with a graph. Algebraic cone metric space, Algebraic distance, Banach contraction, Orbitally G-continuous mapping 41 52 http://ijmsi.ir/browse.php?a_code=A-10-2588-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/14 1396/1/25 2019/05/92020/03/42019/11/72017/08/142019/05/8 1398/2/18 K. Fallahi Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran fallahi1361@gmail.com 0031947532846006961 0031947532846006961 Yes Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran Gh. Soleimani Rad Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran gh.soleimani2008@gmail.com 0031947532846006962 0031947532846006962 No Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran

en The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules. Torsion modules, Artinian module, Prime submodules. 53 63 http://ijmsi.ir/browse.php?a_code=A-10-988-3&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/19 1396/1/30 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/30 1397/5/8 D. Hassanzadeh-lelekaami Arak University of Technology lelekaami@gmail.com 0031947532846008748 0031947532846008748 Yes

en ‎We consider four-dimensional lie groups equipped with‎ ‎left-invariant Lorentzian Einstein metrics‎, ‎and determine the harmonicity properties ‎of vector fields on these spaces‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional ‎restricted to vector fields‎. ‎We also classify vector fields defining harmonic maps‎, ‎and calculate explicitly the energy of these vector ‎fields‎. ‎Then we study the minimality of critical points for the energy functional‎. Harmonic vector fields‎, ‎Harmonic maps‎, ‎Einstein metrics‎, ‎Lie group‎, ‎Pseudo-Riemannian homogeneous spaces. 65 78 http://ijmsi.ir/browse.php?a_code=A-10-935-3&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/30 1394/9/9 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/20 1398/7/28 Y. Aryanejad Payame noor University y.keshavarzi@pnu.ac.ir 0031947532846008749 0031947532846008749 Yes

en Abstract. In this note, we give some estimates of the generalized quadrature formula of Gauss-Jacobi type for phi-preinvex functions. Integral inequality, $varphi $-preinvex function, H ̈older inequality, power mean inequality 79 83 http://ijmsi.ir/browse.php?a_code=A-10-2576-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/2 1396/1/13 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/11 1396/12/20 B. Meftah Laboratoire des Télécommunications, Faculté des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria. badrimeftah@yahoo.fr 0031947532846008750 0031947532846008750 Yes

en In this paper, we first introduce the concepts of G-systems, quotient G-systems and isomorphism theorems on G-systems of n-ary semihypergroups . Also we consider the Green's equivalences on G-systems and further in-vestigate some of their properties. A number of n-ary semihypergroups are constructed and presented as examples in this paper. n-ary Semihypergroup, G-system, Greens relations. 85 97 http://ijmsi.ir/browse.php?a_code=A-10-443-2&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/22017/05/10 1396/2/20 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/112017/09/8 1396/6/17 S. Ostadhadi-Dehkordi Department of Mathematics, Hormozgan University, Bandar Abbas, Iran. ostadhadi-dehkordi@hotmail.com 0031947532846006966 0031947532846006966 Yes Department of Mathematics, Hormozgan University, Bandar Abbas, Iran. K. P. Shum Institute of Mathematics,Yunnan University, Kunming,650091, P.R. China kpshum@ynu.edu.cn 0031947532846006967 0031947532846006967 No Institute of Mathematics,Yunnan University, Kunming,650091, P.R. China

en ‎In some fields‎, ‎there is an interest in distinguishing different geometrical objects from each other‎. ‎A field of research that studies the objects from a statistical point of view‎, ‎provided they are‎ ‎invariant under translation‎, ‎rotation and scaling effects‎, ‎is known as the statistical shape analysis‎. ‎Having some objects that are registered using key points on the outline of the objects‎, ‎the main purpose‎ ‎of this paper is to compare two popular clustering procedures to cluster objects‎. ‎We also use some indexes‎ ‎to evaluate our clustering application‎. ‎The proposed methods are applied to the real life data. Shape‎, ‎Clustering‎, ‎K-means‎, ‎Model-based‎, ‎Landmark‎. 99 109 http://ijmsi.ir/browse.php?a_code=A-10-2680-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/22017/05/102017/05/9 1396/2/19 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/112017/09/82018/03/6 1396/12/15 M. Golalizadeh Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University golalizadeh@modares.ac.ir 0031947532846006973 0031947532846006973 Yes Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University H. Jafari Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University ‎hamed.jafari@modares.ac.ir 0031947532846006974 0031947532846006974 No Department of Statistics, Faculty of Mathematical Sciences, Tarbiat Modares University

en The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities. Fixed point, Weak contraction,Partially ordered space, Modular metric space. 111 124 http://ijmsi.ir/browse.php?a_code=A-10-2759-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/22017/05/102017/05/92017/06/12 1396/3/22 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/112017/09/82018/03/62019/05/29 1398/3/8 K. Chaira University of Casablanca chaira_karim@yahoo.fr 0031947532846006975 0031947532846006975 No University of Casablanca A. Eladraoui University of Casablanca a.adraoui@live.fr 0031947532846006976 0031947532846006976 Yes University of Casablanca M. Kabil University of Casablanca kabilfstm@gmail.com 0031947532846006977 0031947532846006977 No University of Casablanca

en begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems. end{abstract} Prime (Semiprime) ring, Additive mappings, Generalized (Jordan) left derivations, Generalized (Jordan) derivations, (Jordan)Centralizers. 125 133 http://ijmsi.ir/browse.php?a_code=A-10-2572-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/22017/05/102017/05/92017/06/122017/03/22 1396/1/2 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/112017/09/82018/03/62019/05/292017/09/25 1396/7/3 A. Z. ansari Department of Mathematics, Faculty of Science, Islamic University of Madinah, K.S.A ansari.abuzaid@gmail.com 0031947532846006950 0031947532846006950 Yes Department of Mathematics, Faculty of Science, Islamic University of Madinah, K.S.A

en A mathematical model describing the dynamics  of a  delayed  stage structure prey - predator  system  with  prey  refuge  is  considered.  The  existence,  uniqueness  and bounded- ness  of  the  solution  are  discussed.    All  the  feasibl e  equilibrium  points  are determined.  The   stability  analysis  of  them  are  investigated.  By  employ ing  the time delay as the bifurcation parameter, we observed  the existence of Hopf bifurcation at the positive equilibrium. The stability and direction of the Hopf bifurcation are determined by  utilizing  the  normal  form  method  and  the  center  manifold  reduction.  Numerical simulations are given to support the analytic results. Delayed Prey - Predator System, Stage- Structure, Refuge, Stability, Hop f Bifurcation. 135 159 http://ijmsi.ir/browse.php?a_code=A-10-2787-1&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/22017/05/102017/05/92017/06/122017/03/222017/07/14 1396/4/23 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/112017/09/82018/03/62019/05/292017/09/252018/07/7 1397/4/16 R. Naji Baghdad university rknaji@gmail.com 0031947532846008751 0031947532846008751 No S. Majeed Thi-Qar University sm.salammajeed@yahoo.com 0031947532846008752 0031947532846008752 Yes

en Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS, PERSIAN, Vol. 15, No. 1 161 174 http://ijmsi.ir/browse.php?a_code=A-10-1873-43&slc_lang=en&sid=1 2017/07/262017/01/72017/02/122017/04/92017/04/142017/04/192015/11/302017/04/22017/05/102017/05/92017/06/122017/03/222017/07/142020/08/21 1399/5/31 2019/05/92020/03/42019/11/72017/08/142019/05/82018/07/302019/10/202018/03/112017/09/82018/03/62019/05/292017/09/252018/07/72020/08/21 1399/5/31 IJMSI IJMSI Academic Center for Education, Culture and Research (ACECR) Tarbiat Modares University (TMU) 0031947532846008753 0031947532846008753 Yes