en
jalali
1392
2
1
gregorian
2013
5
1
8
1
online
1
fulltext
en
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.
Canonical hypergroup, hyperring, reduced hyperring, derivation, differential hyperring, differential hyperideal, hderivation.
1
13
http://ijmsi.ir/browse.php?a_code=A-10-1-121&slc_lang=en&sid=1
A.
Asokkumar
`0031947532846002221`

0031947532846002221
Yes
en
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.
Ideal, radical, Quotient $BCH$-algebra, Maximal, Translation.
15
29
http://ijmsi.ir/browse.php?a_code=A-10-1-122&slc_lang=en&sid=1
R.A.
Borzooei
`0031947532846002222`

0031947532846002222
Yes
O.
Zahiri
`0031947532846002223`

0031947532846002223
No
en
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.
Frame, Fusion frame, Subfusion frame, Completion.
31
38
http://ijmsi.ir/browse.php?a_code=A-10-1-123&slc_lang=en&sid=1
Z.
Amiri
`0031947532846002224`

0031947532846002224
Yes
M.A.
Dehghan
`0031947532846002225`

0031947532846002225
No
E.
Rahimi
`0031947532846002226`

0031947532846002226
No
L.
Soltani
`0031947532846002227`

0031947532846002227
No
en
<span style="text-decoration: line-through ">Approximation of Jordan homomorphisms in Jordan Banach algebras</span> <span style="color: red font-size:0.9em "> RETRACTED PAPER</span>
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.
This paper has been retracted because it is a self-plagiarism of already published paper.
39
47
http://ijmsi.ir/browse.php?a_code=A-10-1-124&slc_lang=en&sid=1
Madjid
Eshaghi Gordji
`0031947532846002245`

0031947532846002245
Yes
Najmeh
Karimipour Samani
`0031947532846002246`

0031947532846002246
No
Choonkil
Park
`0031947532846002247`

0031947532846002247
No
en
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.
49
58
http://ijmsi.ir/browse.php?a_code=A-10-1-125&slc_lang=en&sid=1
Hossein
Jafari
`0031947532846002231`

0031947532846002231
Yes
Maryam
Alipour
`0031947532846002232`

0031947532846002232
No
Maryam
Ghorbani
`0031947532846002233`

0031947532846002233
No
en
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.
Mathematical logic, bounded arithmetic, polynomial induction, cut, overspill, underspill.
59
66
http://ijmsi.ir/browse.php?a_code=A-10-1-126&slc_lang=en&sid=1
Morteza
Moniri
`0031947532846002234`

0031947532846002234
Yes
S. Hosein
Sajjadi
`0031947532846002235`

0031947532846002235
No
en
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.
Ternary semigroup, Ideal extension, Semilattice congruence.
67
74
http://ijmsi.ir/browse.php?a_code=A-10-1-127&slc_lang=en&sid=1
Aiyared
Iampan
`0031947532846002236`

0031947532846002236
Yes
en
$(odot, oplus)$-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.
MV - algebra, Derivation, Boolean algebra, Fix point, Ideal.
75
90
http://ijmsi.ir/browse.php?a_code=A-10-1-128&slc_lang=en&sid=1
Sh.
Ghorbani
`0031947532846002237`

0031947532846002237
Yes
L.
Torkzadeh
`0031947532846002238`

0031947532846002238
No
S.
Motamed
`0031947532846002239`

0031947532846002239
No
en
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.
Finding root, Collocation method, Jacobi polynomial, Boundary value equation, Convergence.
91
104
http://ijmsi.ir/browse.php?a_code=A-10-1-129&slc_lang=en&sid=1
M. R.
Eslahchi
`0031947532846002240`

0031947532846002240
Yes
M.
Parvizi
`0031947532846002241`

0031947532846002241
No
en
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 $k geq 2$, $diam(L(G)) leq k$.
Line graph, Diameter (of graph), Distance (in graph).
105
109
http://ijmsi.ir/browse.php?a_code=A-10-1-130&slc_lang=en&sid=1
Harishchandra S.
Ramane
`0031947532846002242`

0031947532846002242
Yes
Ivan
Gutman
`0031947532846002243`

0031947532846002243
No
Asha B.
Ganagi
`0031947532846002244`

0031947532846002244
No