@article{ author = {Susanti, Y. and Puspitasari, Y. I. and Khotimah, H.}, title = {On Total Edge Irregularity Strength of Staircase Graphs and Related Graphs}, abstract ={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.}, Keywords = {Total edge irregularity strength, Staircase graphs, Double staircase graphs, Mirror-staircase graphs}, volume = {15}, Number = {1}, pages = {1-13}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.1}, url = {http://ijmsi.ir/article-1-1121-en.html}, eprint = {http://ijmsi.ir/article-1-1121-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Shabani-Solt., H. and Yusefnejad, N. and Janfada, A. S.}, title = {On the Diophantine Equation x^6+ky^3=z^6+kw^3}, abstract ={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.}, Keywords = {Diophantine equation, Elliptic curve.}, volume = {15}, Number = {1}, pages = {15-21}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.15}, url = {http://ijmsi.ir/article-1-1004-en.html}, eprint = {http://ijmsi.ir/article-1-1004-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Estaji, A. A. and KarimiFeizabadi, A. and RobatSarpoushi, M.}, title = {Sums of Strongly z-Ideals and Prime Ideals in ${mathcal{R}} L$}, abstract ={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.}, Keywords = {Frame, Ring of real-valued continuous functions, z-Ideal, Strongly z-ideal.}, volume = {15}, Number = {1}, pages = {23-34}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.23}, url = {http://ijmsi.ir/article-1-1025-en.html}, eprint = {http://ijmsi.ir/article-1-1025-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {KhaliliAsboei, A.R.}, title = {Characterization of $mathrm{PSL}(5,q)$ by its Order and One Conjugacy Class Size}, abstract ={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.}, Keywords = {Conjugacy class size, Prime graph, Thompson's conjecture.}, volume = {15}, Number = {1}, pages = {35-40}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.35}, url = {http://ijmsi.ir/article-1-1061-en.html}, eprint = {http://ijmsi.ir/article-1-1061-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Fallahi, K. and SoleimaniRad, Gh.}, title = {The Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph}, abstract ={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.}, Keywords = {Algebraic cone metric space, Algebraic distance, Banach contraction, Orbitally G-continuous mapping}, volume = {15}, Number = {1}, pages = {41-52}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.41}, url = {http://ijmsi.ir/article-1-1064-en.html}, eprint = {http://ijmsi.ir/article-1-1064-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Hassanzadeh-lelekaami, D.}, title = {On the Prime Spectrum of Torsion Modules}, abstract ={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.}, Keywords = {Torsion modules, Artinian module, Prime submodules.}, volume = {15}, Number = {1}, pages = {53-63}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.53}, url = {http://ijmsi.ir/article-1-1070-en.html}, eprint = {http://ijmsi.ir/article-1-1070-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Aryanejad, Y.}, title = {Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups}, abstract ={‎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.}, Keywords = {Harmonic vector fields‎, ‎Harmonic maps‎, ‎Einstein metrics‎, ‎Lie group‎, ‎Pseudo-Riemannian homogeneous spaces.}, volume = {15}, Number = {1}, pages = {65-78}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.65}, url = {http://ijmsi.ir/article-1-809-en.html}, eprint = {http://ijmsi.ir/article-1-809-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Meftah, B.}, title = {New Integral Inequalities Through the phi-Preinvexity}, abstract ={Abstract. In this note, we give some estimates of the generalized quadrature formula of Gauss-Jacobi type for phi-preinvex functions.}, Keywords = {Integral inequality, $varphi $-preinvex function, H ̈older inequality, power mean inequality}, volume = {15}, Number = {1}, pages = {79-83}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.79}, url = {http://ijmsi.ir/article-1-1057-en.html}, eprint = {http://ijmsi.ir/article-1-1057-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Ostadhadi-Dehkordi, S. and Shum, K. P.}, title = {Quotient G-systems and Green\'s Relations}, abstract ={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.}, Keywords = {n-ary Semihypergroup, G-system, Greens relations.}, volume = {15}, Number = {1}, pages = {85-97}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.85}, url = {http://ijmsi.ir/article-1-1082-en.html}, eprint = {http://ijmsi.ir/article-1-1082-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Golalizadeh, M. and Jafari, H.}, title = {Comparing Model-based Versus K-means Clustering for the Planar Shapes}, abstract ={‎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.}, Keywords = {Shape‎, ‎Clustering‎, ‎K-means‎, ‎Model-based‎, ‎Landmark‎.}, volume = {15}, Number = {1}, pages = {99-109}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.99}, url = {http://ijmsi.ir/article-1-1080-en.html}, eprint = {http://ijmsi.ir/article-1-1080-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Chaira, K. and Eladraoui, A. and Kabil, M.}, title = {Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces}, abstract ={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.}, Keywords = {Fixed point, Weak contraction,Partially ordered space, Modular metric space.}, volume = {15}, Number = {1}, pages = {111-124}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.111}, url = {http://ijmsi.ir/article-1-1102-en.html}, eprint = {http://ijmsi.ir/article-1-1102-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {ansari, A. Z.}, title = {On Identities with Additive Mappings in Rings}, abstract ={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}}, Keywords = {Prime (Semiprime) ring, Additive mappings, Generalized (Jordan) left derivations, Generalized (Jordan) derivations, (Jordan)Centralizers.}, volume = {15}, Number = {1}, pages = {125-133}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.125}, url = {http://ijmsi.ir/article-1-1051-en.html}, eprint = {http://ijmsi.ir/article-1-1051-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {Naji, R. and Majeed, S.}, title = {The Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population}, abstract ={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.}, Keywords = {Delayed Prey - Predator System, Stage- Structure, Refuge, Stability, Hop f Bifurcation.}, volume = {15}, Number = {1}, pages = {135-159}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.29252/ijmsi.15.1.135}, url = {http://ijmsi.ir/article-1-1116-en.html}, eprint = {http://ijmsi.ir/article-1-1116-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} } @article{ author = {IJMSI, IJMSI}, title = {ABSTRACTS IN PERSIAN Vol.15, No.1}, abstract ={Please see the full text contains the Pesian abstracts for this volume.}, Keywords = {ABSTRACTS, PERSIAN, Vol. 15, No. 1}, volume = {15}, Number = {1}, pages = {161-174}, publisher = {ACECR at Tarbiat Modares University}, url = {http://ijmsi.ir/article-1-1958-en.html}, eprint = {http://ijmsi.ir/article-1-1958-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2020} }