eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 1 11 article P. Yiarayong pairote0027@hotmail.com 1 University Phitsanuloke 65000 The aim of this short note is to introduce the concepts of prime and semiprime ideals in ordered AG-groupoids with left identity. These concepts are related to the concepts of quasi-prime and quasi-semiprime ideals, play an important role in studying the structure of ordered AG-groupoids, so it seems to be interesting to study them. http://ijmsi.ir/article-1-546-en.pdf Ordered AG-Groupoids Prime Semiprime quasi-prime Quasi-semiprime. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 13 26 article F. Koushki fkoushki@gmail.com 1 Qazvin Branch, Islamic Azad University This paper deals with the problem of optimizing two-stage structure decision making units (DMUs) where the activity and the performance of two-stage DMU in one period effect on its efficiency in the next period. To evaluate such systems the effect of activities in one period on ones in the next term must be considered. To do so, we propose a dynamic DEA approach to measure the performance of such network units. According to the results of proposed dynamic model the inefficiencies of DMUs improve considerably. Additionally, in models which measure efficiency score, undesirable outputs are mostly treated as inputs, which do not reflect the true production process. We propose an alternative method in dealing with bad outputs. Statistical analysis of sub-efficiencies, i.e. efficiency score of each stage, during all periods represents useful information about the total performance of the stage over all periods. http://ijmsi.ir/article-1-467-en.pdf Data envelopment analysis (DEA) Network DEA Bad outputs Dynamic DEA Sub-efficiency. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 27 34 article F. Izadi farzali.izadi@azaruniv.edu 1 A. Shamsi Zargar shzargar.arman@azaruniv.edu 2 Urmia University Shahid Madani University, Tabriz ‎‎In the category of Mordell curves (E_D:y^2=x^3+D) with nontrivial torsion groups we find curves of the generic rank two as quadratic twists of (E_1), ‎and of the generic rank at least two and at least three as cubic twists of (E_1). ‎Previous work‎, ‎in the category of Mordell curves with trivial torsion groups‎, ‎has found infinitely many elliptic curves with rank at least seven as sextic twists of (E_1) cite{Kih}. http://ijmsi.ir/article-1-593-en.pdf Elliptic curve‎ ‎Mordell curve‎ ‎(Mordell-Weil) rank‎ ‎Twist. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 35 46 article M. Rahaman mrahman96@yahoo.com 1 R. Ahmad raisain_123@rediffmail.com 2 H. A. Rizvi haider.alig.abbas@gmail.com 3 Aligarh Muslim University Aligarh Muslim University Aligarh Muslim University In this paper, we use the concept of graph convergence of H(.,.)-co-accretive mapping introduced by [R. Ahmad, M. Akram, M. Dilshad, Graph convergence for the H(.,.)-co-accretive mapping with an application, Bull. Malays. Math. Sci. Soc., doi: 10.1007/s40840-014-0103-z, 2014$] and define an over-relaxed proximal point method to obtain the solution of a generalized variational inclusion problem in Banach spaces. Our results can be viewed as an extension of some previously known results in this direction. http://ijmsi.ir/article-1-669-en.pdf Graph convergence Over-relaxed Accretive Variational inclusion Convergence. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 47 67 article S. Nezhadhosein s_nezhadhossin@yahoo.com 1 A. Heydari 2 R. Ghanbari 3 Payame Noor University, Tehran Payame Noor University, Tehran Ferdowsi University of Mashhad ‎Here‎, ‎we give a two phases algorithm based on integrating differential evolution (DE) algorithm with modified hybrid genetic algorithm (MHGA) for solving the associated nonlinear programming problem of a nonlinear optimal control problem‎. ‎In the first phase‎, ‎DE starts with a completely random initial population where each individual‎, ‎or solution‎, ‎is a random matrix of control input values in time nodes‎. ‎After phase 1‎, ‎to achieve more accurate solutions‎, ‎we increase the number of time nodes‎. ‎The values of the associated new control inputs are estimated by linear or spline interpolations using the curves computed in the phase 1‎. ‎In addition‎, ‎to maintain the diversity in the population‎, ‎some additional individuals are added randomly‎. ‎Next‎, ‎in the second phase‎, ‎MHGA starts by the new population constructed by the above procedure and tries to improve the obtained solutions at the end of phase 1‎. ‎We implement our proposed algorithm on some well-known nonlinear optimal control problems‎. ‎The numerical results show the proposed algorithm can find almost better solution than other proposed algorithms‎. http://ijmsi.ir/article-1-595-en.pdf Nonlinear optimal control problem‎ ‎Differential evolution‎ ‎Modified hybrid genetic algorithm‎ ‎Successive quadratic programming‎ ‎Spline interpolation‎. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 69 80 article S. Alikhani alikhani@yazd.ac.ir 1 S. Jahari s.jahari@gmail.com 2 Yazd University Yazd University Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is the polynomial $D(G, x)=sum_{i=gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$ and $gamma(G)$ is the domination number of $G$. In this paper we present some families of graphs whose domination polynomials are unimodal. http://ijmsi.ir/article-1-617-en.pdf Domination polynomial unimodal family. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 81 94 article A. Zaeim zaeim@pnu.ac.ir 1 M. Chaichi chaichi@pnu.ac.ir 2 Y. Aryanejad y.aryanejad@pnu.ac.ir 3 ‎Payame noor University ‎Payame noor University ‎Payame noor University ‎We study curvature properties of four-dimensional Lorentzian manifolds with two-symmetry property‎. ‎We then consider Einstein-like metrics‎, ‎Ricci solitons and homogeneity over these spaces‎‎. http://ijmsi.ir/article-1-626-en.pdf Pseudo-Riemannian metric‎ ‎Einstein-like metrics‎ ‎Ricci soliton‎ ‎Homogeneous spac‎e‎. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 95 106 article A. R. Naghipour 1 Shahrekord University Let R be a fnite commutative ring and N(R) be the set of non unit elements of R. The non unit graph of R, denoted by Gamma(R), is the graph obtained by setting all the elements of N(R) to be the vertices and defning distinct vertices x and y to be adjacent if and only if x - yin N(R). In this paper, the basic properties of Gamma(R) are investigated and some characterization results regarding connectedness, girth and planarity of Gamma(R) are given. http://ijmsi.ir/article-1-632-en.pdf Connectivity Diameter Girth Planar graph Clique. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 107 117 article I. Sahul Hamid 1 S. Saravanakumar 2 The Madura College(Autonomous) Madurai The Madura College(Autonomous) Madurai In a graph G = (V,E), a subset $S⊂V$ is said to be an open packing set if no two vertices of S have a common neighbour in G. The maximum cardinality of an open packing set is called the open packing number and is denoted by $ρ^{o}$. This paper further studies on this parameter by obtaining some new bounds. http://ijmsi.ir/article-1-743-en.pdf Open packing Maximum degree Clique Split graphs. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 119 129 article N. Ashrafi nashrafi@semnan.ac.ir 1 N. Pouyan neda.pouyan@gmail.com 2 Semnan University Semnan University In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to‌ $Z_2$ or $Z_3$. The main result of [24] states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every element of a regular Baer ring is twin-good if and only if R has no factor ring isomorphic to  $Z_2$ or $Z_3$. Also we illustrate conditions under which extending modules, continuous modules and some classes of vector space are twin-good. http://ijmsi.ir/article-1-638-en.pdf Twin-good ring Neat ring Regular Baer ring π-Regular. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 131 152 article M. R. Peyghami peyghami@kntu.ac.ir 1 S. Fathi Hafshejani sajadfathi85@gmail.com 2 K.N. Toosi Univ. of Tech. Shiraz Univ. of Tech. In this paper, we consider convex quadratic semidefinite optimization problems and provide a primal-dual Interior Point Method (IPM) based on a new kernel function with a trigonometric barrier term. Iteration complexity of the algorithm is analyzed using some easy to check and mild conditions. Although our proposed kernel function is neither a Self-Regular (SR) function nor logarithmic barrier function, the primal-dual IPMs based on this kernel function enjoy the worst case iteration bound $Oleft(sqrt{n}log nlog frac{n}{epsilon}right)$ for the large-update methods with the special choice of its parameters. This bound coincides to the so far best known complexity results obtained from SR kernel functions for linear and semidefinite optimization problems. Finally some numerical issues regarding the practical performance of the new proposed kernel function is reported. http://ijmsi.ir/article-1-671-en.pdf Convex quadratic semidefinite optimization problem Primal-dual interior-point methods Kernel function Iteration complexity. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 153 161 article R. Abu-Dawwas rrashid@yu.edu.jo 1 Kh. Al-Zoubi kfzoubi@ust.edu.jo 2 Yarmouk University Jordan University of Science and Technology Let R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules. http://ijmsi.ir/article-1-918-en.pdf Graded prime submodules Graded weakly classical prime submodules Graded classical prime submodules . eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2017-04 12 1 163 175 article Name of Authors In This Volume fatemeh.bardestani@gmail.com 1 All the author's Affilliations Please see the full text contains the Pesian abstracts for this volume. http://ijmsi.ir/article-1-1114-en.pdf ABSTRACTS PERSIAN Vol. 12 No. 1