OTHERS_CITABLE Derivations in Hyperrings and Prime Hyperrings 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. http://ijmsi.ir/article-1-398-en.pdf 2013-04-08T10:20:15 1 13 10.7508/ijmsi.2013.01.001 Canonical hypergroup hyperring reduced hyperring derivation differential hyperring differential hyperideal hderivation. A. Asokkumar 1 AUTHOR
OTHERS_CITABLE Radical and It’s Applications in BCH-Algebras 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. http://ijmsi.ir/article-1-399-en.pdf 2013-04-08T10:20:15 15 29 10.7508/ijmsi.2013.01.002 Ideal radical Quotient \$BCH\$-algebra Maximal Translation. R.A. Borzooei 1 AUTHOR O. Zahiri 2 AUTHOR
OTHERS_CITABLE Bessel Subfusion Sequences and Subfusion Frames 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. http://ijmsi.ir/article-1-400-en.pdf 2015-10-26T10:20:15 31 38 10.7508/ijmsi.2013.01.003 Frame Fusion frame Subfusion frame Completion. Z. Amiri 1 AUTHOR M.A. Dehghan 2 AUTHOR E. Rahimi 3 AUTHOR L. Soltani 4 AUTHOR
OTHERS_CITABLE Approximation of Jordan homomorphisms in Jordan Banach algebras RETRACTED PAPER 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. http://ijmsi.ir/article-1-401-en.pdf 2013-06-01T10:20:15 39 47 This paper has been retracted because it is a self-plagiarism of already published paper. Madjid Eshaghi Gordji 1 AUTHOR Najmeh Karimipour Samani 2 AUTHOR Choonkil Park 3 AUTHOR
OTHERS_CITABLE T-Stability Approach to the Homotopy Perturbation Method for Solving Fredholm Integral Equations 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. http://ijmsi.ir/article-1-402-en.pdf 2015-10-26T10:20:15 49 58 10.7508/ijmsi.2013.01.005 Hossein Jafari 1 AUTHOR Maryam Alipour 2 AUTHOR Maryam Ghorbani 3 AUTHOR
OTHERS_CITABLE Cuts and overspill properties in models of bounded arithmetic In this paper we are concerned with cuts in models of Samuel Buss' 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. http://ijmsi.ir/article-1-403-en.pdf 2015-10-26T10:20:15 59 66 10.7508/ijmsi.2013.01.006 Mathematical logic bounded arithmetic polynomial induction cut overspill underspill. Morteza Moniri 1 AUTHOR S. Hosein Sajjadi 2 AUTHOR
OTHERS_CITABLE Some Properties of Ideal Extensions in Ternary Semigroups 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. http://ijmsi.ir/article-1-404-en.pdf 2013-04-08T10:20:15 67 74 10.7508/ijmsi.2013.01.007 Ternary semigroup Ideal extension Semilattice congruence. Aiyared Iampan 1 AUTHOR
OTHERS_CITABLE \$(odot, oplus)\$-Derivations and \$(ominus, odot)\$-Derivations on \$MV\$-algebras 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. http://ijmsi.ir/article-1-405-en.pdf 2015-10-26T10:20:15 75 90 10.7508/ijmsi.2013.01.008 MV - algebra Derivation Boolean algebra Fix point Ideal. Sh. Ghorbani 1 AUTHOR L. Torkzadeh 2 AUTHOR S. Motamed 3 AUTHOR
OTHERS_CITABLE Application of Collocation Method in Finding Roots 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. http://ijmsi.ir/article-1-406-en.pdf 2015-10-26T10:20:15 91 104 10.7508/ijmsi.2013.01.009 Finding root Collocation method Jacobi polynomial Boundary value equation Convergence. M. R. Eslahchi 1 AUTHOR M. Parvizi 2 AUTHOR
OTHERS_CITABLE On Diameter of Line Graphs 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\$. http://ijmsi.ir/article-1-407-en.pdf 2013-03-18T10:20:15 105 109 10.7508/ijmsi.2013.01.010 Line graph Diameter (of graph) Distance (in graph). Harishchandra S. Ramane 1 AUTHOR Ivan Gutman 2 AUTHOR Asha B. Ganagi 3 AUTHOR