@article{ author = {Asokkumar, A.}, title = {Derivations in Hyperrings and Prime Hyperrings}, abstract ={In this paper we introduce derivations in Krasner hyperrings and derive some basic properties of derivations. We also prove that for a strongly differential hyperring $R$ and for any strongly differential hyperideal $I$ of $R,$ the factor hyperring $R/I$ is a strongly differential hyperring. Further we prove that a map $d: R rightarrow R$ is a derivation of a hyperring $R$ if and only if the induced map $varphi_d$ is a homomorphism.}, Keywords = {Canonical hypergroup, hyperring, reduced hyperring, derivation, differential hyperring, differential hyperideal, hderivation.}, volume = {8}, Number = {1}, pages = {1-13}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.001}, url = {http://ijmsi.ir/article-1-398-en.html}, eprint = {http://ijmsi.ir/article-1-398-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Borzooei, R.A. and Zahiri, O.}, title = {Radical and It’s Applications in BCH-Algebras}, abstract ={Let $X$ be a $BCH$-algebra and $I$ be an ideal of $X$. In this paper, we introduce the concept of $sqrt{I}$. We show that it is an ideal of $X$, when $I$ is closed ideal of $X$. Then we verify some useful properties of it. We prove that it is the ::::union:::: of all $k-$nil ideals of $I$. Moreover, if $I$ is a closed ideal of $X$, then $sqrt{I}$ is a closed translation ideal and so we can construct a quotient $BCH$-algebra. We prove this quotient is a P-semisimple $BCI$-algebra and so it is an abelian group. Then we use the concept of radical in order to construct the second and the third isomorphism theorems.}, Keywords = { Ideal, radical, Quotient $BCH$-algebra, Maximal, Translation.}, volume = {8}, Number = {1}, pages = {15-29}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.002}, url = {http://ijmsi.ir/article-1-399-en.html}, eprint = {http://ijmsi.ir/article-1-399-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Amiri, Z. and Dehghan, M.A. and Rahimi, E. and Soltani, L.}, title = {Bessel Subfusion Sequences and Subfusion Frames}, abstract ={Fusion frames are a generalized form of frames in Hilbert spaces. In the present paper we introduce Bessel subfusion sequences and subfusion frames and we investigate the relationship between their operation. Also, the definition of the orthogonal complement of subfusion frames and the definition of the completion of Bessel fusion sequences are provided and several results related with these notions are shown.}, Keywords = {Frame, Fusion frame, Subfusion frame, Completion.}, volume = {8}, Number = {1}, pages = {31-38}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.003}, url = {http://ijmsi.ir/article-1-400-en.html}, eprint = {http://ijmsi.ir/article-1-400-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {EshaghiGordji, Madjid and KarimipourSamani, Najmeh and Park, Choonkil}, title = {Approximation of Jordan homomorphisms in Jordan Banach algebras RETRACTED PAPER}, abstract ={In this paper, we investigate the generalized Hyers-Ulam stability of Jordan homomorphisms in Jordan Banach algebras for the functional equation begin{align*} sum_{k=2}^n sum_{i_1=2}^ksum_{i_2=i_{1}+1}^{k+1}cdotssum_{i_n-k+1=i_{n-k}+1}^n fleft(sum_{i=1,i not=i_{1},cdots ,i_{n-k+1}}^n x_{i}-sum_{r=1}^{n-k+1} x_{i_{r}}right) + fleft(sum_{i=1}^{n}x_{i}right)-2^{n-1} f(x_{1}) =0, end{align*} where $n$ is an integer greater than 1.}, Keywords = {This paper has been retracted because it is a self-plagiarism of already published paper.}, volume = {8}, Number = {1}, pages = {39-47}, publisher = {ACECR at Tarbiat Modares University}, url = {http://ijmsi.ir/article-1-401-en.html}, eprint = {http://ijmsi.ir/article-1-401-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Jafari, Hossein and Alipour, Maryam and Ghorbani, Maryam}, title = {T-Stability Approach to the Homotopy Perturbation Method for Solving Fredholm Integral Equations}, abstract ={The homotopy perturbation method is a powerful device for solving a wide variety of problems arising in many scientific applications. In this paper, we investigate several integral equations by using T-stability of the Homotopy perturbation method investigates for solving integral equations. Some illustrative examples are presented to show that the Homotopy perturbation method is T-stable for solving Fredholm integral equations.}, Keywords = {}, volume = {8}, Number = {1}, pages = {49-58}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.005}, url = {http://ijmsi.ir/article-1-402-en.html}, eprint = {http://ijmsi.ir/article-1-402-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Moniri, Morteza and Sajjadi, S. Hosei}, title = {Cuts and overspill properties in models of bounded arithmetic}, abstract ={In this paper we are concerned with cuts in models of Samuel Buss;#39 theories of bounded arithmetic, i.e. theories like $S_{2}^i$ and $T_{2}^i$. In correspondence with polynomial induction, we consider a rather new notion of cut that we call p-cut. We also consider small cuts, i.e. cuts that are bounded above by a small element. We study the basic properties of p-cuts and small cuts. In particular, we prove some overspill and underspill properties for them.}, Keywords = {Mathematical logic, bounded arithmetic, polynomial induction, cut, overspill, underspill.}, volume = {8}, Number = {1}, pages = {59-66}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.006}, url = {http://ijmsi.ir/article-1-403-en.html}, eprint = {http://ijmsi.ir/article-1-403-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Iampan, Aiyare}, title = {Some Properties of Ideal Extensions in Ternary Semigroups}, abstract ={A concept of ideal extensions in ternary semigroups is introduced and throughly investigated. The connection between an ideal extensions and semilattice congruences in ternary semigroups is considered.}, Keywords = {Ternary semigroup, Ideal extension, Semilattice congruence.}, volume = {8}, Number = {1}, pages = {67-74}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.007}, url = {http://ijmsi.ir/article-1-404-en.html}, eprint = {http://ijmsi.ir/article-1-404-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Ghorbani, Sh. and Torkzadeh, L. and Motamed, S.}, title = {$(odot, oplus)$-Derivations and $(ominus, odot)$-Derivations on $MV$-algebras}, abstract ={In this paper, we introduce the notions of $(odot, oplus)$-derivations and $(ominus, odot)$-derivations for $MV$-algebras and discuss some related results. We study the connection between these derivations on an $MV$-algebra $A$ and the derivations on its boolean center. We characterize the isotone $(odot, oplus)$-derivations and prove that $(ominus, odot)$-derivations are isotone. Finally we determine the relationship between $(odot, oplus)$-derivation and $(ominus, odot)$-derivation for $MV$-algebras.}, Keywords = {MV - algebra, Derivation, Boolean algebra, Fix point, Ideal.}, volume = {8}, Number = {1}, pages = {75-90}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.008}, url = {http://ijmsi.ir/article-1-405-en.html}, eprint = {http://ijmsi.ir/article-1-405-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Eslahchi, M. R. and Parvizi, M.}, title = {Application of Collocation Method in Finding Roots}, abstract ={In this paper we present a new method to find simple or multiple roots of functions in a finite interval. In this method using bisection method we can find an interval such that this function is one to one on it, thus we can transform problem of finding roots in this interval into an ordinary differential equation with boundary conditions. By solving this equation using collocation method we can find a root for given function in the special interval. We also present convergence analysis of the new method. Finally some examples are given to show efficiency of the presented method.}, Keywords = {Finding root, Collocation method, Jacobi polynomial, Boundary value equation, Convergence.}, volume = {8}, Number = {1}, pages = {91-104}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.009}, url = {http://ijmsi.ir/article-1-406-en.html}, eprint = {http://ijmsi.ir/article-1-406-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Ramane, Harishchandra S. and Gutman, Ivan and Ganagi, Asha B.}, title = {On Diameter of Line Graphs}, abstract ={The diameter of a connected graph $G$, denoted by $diam(G)$, is the maximum distance between any pair of vertices of $G$. Let $L(G)$ be the line graph of $G$. We establish necessary and sufficient conditions under which for a given integer $k geq 2$, $diam(L(G)) leq k$.}, Keywords = {Line graph, Diameter (of graph), Distance (in graph).}, volume = {8}, Number = {1}, pages = {105-109}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.01.010}, url = {http://ijmsi.ir/article-1-407-en.html}, eprint = {http://ijmsi.ir/article-1-407-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Alexandru, O}, title = {On Ricci identities for submanifolds in the 2-osculator bundle}, abstract ={It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16]). The Ricci identities for the deflection tensors are presented in the seventh section.}, Keywords = {nonlinear connection, linear connection, induced linear connection, d-torsions and d-curvatures.}, volume = {8}, Number = {2}, pages = {1-21}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.001}, url = {http://ijmsi.ir/article-1-500-en.html}, eprint = {http://ijmsi.ir/article-1-500-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Zarghani, M.}, title = {Higher rank Einstein solvmanifolds}, abstract ={In this paper we study the structure of standard Einstein solvmanifolds of arbitrary rank. Also the validity of a variational method for finding standard Einstein solvmanifolds is proved.}, Keywords = {Nilpotent Lie algebra, Einstein, Solvmanifold, Critical point, Ricci soliton, Left invariant metric.}, volume = {8}, Number = {2}, pages = {23-30}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.002}, url = {http://ijmsi.ir/article-1-501-en.html}, eprint = {http://ijmsi.ir/article-1-501-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Maimani, Hamidreza and Norozi, Zynolabedi}, title = {Secret Sharing Based On Cartesian product Of Graphs}, abstract ={The purpose of this paper is to study the information ratio of perfect secret sharing of product of some special families of graphs. We seek to prove that the information ratio of prism graphs $Y_{n}$ are equal to $frac{7}{4}$ for any $ngeq 5$, and we will gave a partial answer to a question of Csirmaz cite{CL}. We will also study the information ratio of two other families $C_{m}times C_{n}$ and $P_{m}times C_{n}$ and obtain the exact value of information ratio of these graphs.}, Keywords = {Secret sharing, Cartesian graph product, Prism graph.}, volume = {8}, Number = {2}, pages = {31-38}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.003}, url = {http://ijmsi.ir/article-1-502-en.html}, eprint = {http://ijmsi.ir/article-1-502-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Nagaraja, K. M. and Reddy, P. Siva Kota and Sahu, Sudhir Kumar}, title = {Generalization of -Centroidal Mean and its Dual}, abstract ={In this paper, the generalized -centroidal mean and its dual form in 2 variables are introduced. Also, studied some properties and prove their monotonicity. Further, shown that various means are partic- ular cases of generalized $bf{alpha}$-centroidal mean.}, Keywords = {Monotonicity, Inequality, Power Oscillatory mean, Dual.}, volume = {8}, Number = {2}, pages = {39-47}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.004}, url = {http://ijmsi.ir/article-1-503-en.html}, eprint = {http://ijmsi.ir/article-1-503-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Alikhani, Saei}, title = {On the domination polynomials of non P4-free graphs}, abstract ={A graph $G$ is called $P_4$-free, if $G$ does not contain an induced subgraph $P_4$. The domination polynomial of a graph $G$ of order $n$ is the polynomial $D(G,x)=sum_{i=1}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$. Every root of $D(G,x)$ is called a domination root of $G$. In this paper we state and prove formula for the domination polynomial of non $P_4$-free graphs. Also, we pose a conjecture about domination roots of these kind of graphs.}, Keywords = {Domination polynomial, Simple path, Root.}, volume = {8}, Number = {2}, pages = {49-55}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.005}, url = {http://ijmsi.ir/article-1-504-en.html}, eprint = {http://ijmsi.ir/article-1-504-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Massouros, Christos G. and Massouros, Gerasimos G.}, title = {On the Algebraic Structure of Transposition Hypergroups with Idempotent Identity}, abstract ={This paper studies the algebraic structure of transposition hypergroups with idempotent identity. Their subhypergroups and their properties are examined. Right, left and double cosets are defined through symmetric subhypergroups and their properties are studied. Further- more, this paper examines the homomorphisms, the behaviour of attrac- tive and non-attractive elements through them, as well as the relation of their kernels and images to symmetric subhypergroups.}, Keywords = {hypergroups, transposition hypergroups, subhypergroups, sym- metric subhypergroups, attractive elements.}, volume = {8}, Number = {2}, pages = {57-74}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.006}, url = {http://ijmsi.ir/article-1-505-en.html}, eprint = {http://ijmsi.ir/article-1-505-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Eslamian, M. and Abkar, Ali}, title = {Generalized weakly contractive multivalued mappings and common fixed points}, abstract ={In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].}, Keywords = {multivalued mapping, weakly contractive mapping, common fixed point.}, volume = {8}, Number = {2}, pages = {75-84}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.007}, url = {http://ijmsi.ir/article-1-506-en.html}, eprint = {http://ijmsi.ir/article-1-506-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Doagooei, A. R. and Mohebi, H.}, title = {Sum Formula for Maximal Abstract Monotonicity and Abstract Rockafellar’s Surjectivity Theorem}, abstract ={In this paper, we present an example in which the sum of two maximal abstract monotone operators is maximal. Also, we shall show that the necessary condition for Rockafellar’s surjectivity which was obtained in ([19], Theorem 4.3) can be sufficient.}, Keywords = {Monotone operator, Abstract monotonicity, Abstract convex func- tion, Abstract convexity, Rockafellar’s surjectivity theorem.}, volume = {8}, Number = {2}, pages = {85-100}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.008}, url = {http://ijmsi.ir/article-1-507-en.html}, eprint = {http://ijmsi.ir/article-1-507-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Jafarpour, M. and Leoreanu-Fotea, V. and Zolfaghari, A.}, title = {Weak complete parts in semihypergroups}, abstract ={In this article we generalize the notion of complete parts, by introducing a weaker condition in definition. Using this generalization we define and analyse a new class of semihypergroups, which are called weak complete semihypergroups. Complete parts were introduced about 40 years ago by M. Koskas and they represent a basic notion of hyperstucture theory, utilized in constructing an important class of subhypergroups of a hypergroup and also they are used to define complete hypergroups.}, Keywords = {(semi)Hypergroup, (strongly) Regular relation, Complete parts, -part.}, volume = {8}, Number = {2}, pages = {101-109}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.009}, url = {http://ijmsi.ir/article-1-508-en.html}, eprint = {http://ijmsi.ir/article-1-508-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Bahramian, Mojtaba and Daghigh, Hass}, title = {A Generalized Fibonacci Sequence and the Diophantine Equations $x^2pm kxy-y^2pm x=0$}, abstract ={In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the Diophantine equations $x^2pmkxy-y^2pm x=0$, where $k$ is positive integer, and describe the structure of solutions.}, Keywords = {Diophantine equation, Generalized Fibonacci sequence, Pell equation}, volume = {8}, Number = {2}, pages = {111-121}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.010}, url = {http://ijmsi.ir/article-1-509-en.html}, eprint = {http://ijmsi.ir/article-1-509-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Arefijamaal, Ali Akbar and Sadeghi, Ghadir}, title = {Frames in 2-inner Product Spaces}, abstract ={In this paper, we introduce the notion of a frame in a 2- inner product space and give some characterizations. These frames can be considered as a usual frame in a Hilbert space, so they share many useful properties with frames.}, Keywords = {2-inner product space, 2-norm space, Frame, Frame operator.}, volume = {8}, Number = {2}, pages = {123-130}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.011}, url = {http://ijmsi.ir/article-1-510-en.html}, eprint = {http://ijmsi.ir/article-1-510-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} } @article{ author = {Armandnejad, A. and Passandi, F.}, title = {Block Diagonal Majorization on $C_{0}$}, abstract ={Let $mathbf{c}_0$ be the real vector space of all real sequences which converge to zero. For every $x,yin mathbf{c}_0$, it is said that $y$ is block diagonal majorized by $x$ (written $yprec_b x$) if there exists a block diagonal row stochastic matrix $R$ such that $y=Rx$. In this paper we find the possible structure of linear functions $T:mathbf{c}_0rightarrow mathbf{c}_0$ preserving $prec_b$.}, Keywords = {Block diagonal matrices, Majorization, Stochastic matrices, Linear preservers.}, volume = {8}, Number = {2}, pages = {131-136}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2013.02.012}, url = {http://ijmsi.ir/article-1-511-en.html}, eprint = {http://ijmsi.ir/article-1-511-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2013} }