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 Itâ€™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