@Article{,
author="",
title="Bulletin of the Iranian Mathematical Society",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="-",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_796.html"
}
@Article{Hosseinzadeh2016,
author="Hosseinzadeh, H.
and Soltankhah, N.",
title="Total perfect codes, OO-irredundant and total subdivision in graphs",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="499-506",
abstract="Let $G=(V(G),E(G))$ be a graph, $\gamma_t(G)$. Let $ooir(G)$ be the total domination and OO-irredundance number of $G$, respectively. A total dominating set $S$ of $G$ is called a $\textit{total perfect code}$ if every vertex in $V(G)$ is adjacent to exactly one vertex of $S$. In this paper, we show that if $G$ has a total perfect code, then $\gamma_t(G)=ooir(G)$. As a consequence, we determine the value of $ooir(G)$ for some classes of graphs.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_778.html"
}
@Article{Zhao2016,
author="Zhao, P.
and Zhao, C.",
title="The theory of matrix-valued multiresolution analysis frames",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="507-519",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_779.html"
}
@Article{Ebadian2016,
author="Ebadian, A.
and Rahrovi, S.
and Shams, S.
and Sokol, J.",
title="Polynomially bounded solutions of the Loewner differential equation in several complex variables",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="521-537",
abstract="We determine the form of polynomially bounded solutions to the Loewner differential equation that is satisfied by univalent subordination chains of the form $f(z,t)=e^{\int_0^t A(\tau){\rm d}\tau}z+\cdots$, where $A:[0,\infty]\rightarrow L(\mathbb{C}^n,\mathbb{C}^n)$ is a locally Lebesgue integrable mapping and satisfying the condition $$\sup_{s\geq0}\int_0^\infty\left\|\exp\left\{\int_s^t [A(\tau)-2m(A(\tau))I_n]\rm {d}\tau\right\}\right\|{\rm d}t<\infty,$$ and $m(A(t))>0$ for $t\geq0$, where $m(A)=\min\{\mathfrak{Re}\left\langle A(z),z\right\rangle:\|z\|=1\}$. We also give sufficient conditions for $g(z,t)=M(f(z,t))$ to be polynomially bounded, where $f(z,t)$ is an $A(t)$-normalized polynomially bounded Loewner chain solution to the Loewner differential equation and $M$ is an entire function. On the other hand, we show that all $A(t)$-normalized polynomially bounded solutions to the Loewner differential equation are Loewner chains.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_777.html"
}
@Article{Qi2016,
author="Qi, X. F.",
title="$k$-power centralizing and $k$-power skew-centralizing maps on triangular rings",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="539-554",
abstract="Let $\mathcal A$ and $\mathcal B$ be unital rings, and $\mathcal M$ be an $(\mathcal A, \mathcal B)$-bimodule, which is faithful as a left $\mathcal A$-module and also as a right $\mathcal B$-module. Let ${\mathcal U}=\mbox{\rm Tri}(\mathcal A, \mathcal M, \mathcal B)$ be the triangular ring and ${\mathcal Z}({\mathcal U})$ its center. Assume that $f:{\mathcal U}\rightarrow{\mathcal U}$ is a map satisfying $f(x+y)-f(x)-f(y)\in{\mathcal Z}({\mathcal U})$ for all $x,\ y\in{\mathcal U}$ and $k$ is a positive integer. It is shown that, under some mild conditions, the following statements are equivalent: (1) $[f(x),x^k]\in{\mathcal Z}({\mathcal U})$ for all $x\in{\mathcal U}$; (2) $[f(x),x^k]=0$ for all $x\in{\mathcal U}$; (3) $[f(x),x]=0$ for all $x\in{\mathcal U}$; (4) there exist a central element $z\in{\mathcal Z}({\mathcal U})$ and an additive modulo ${\mathcal Z}({\mathcal U})$ map $h:{\mathcal U}\rightarrow{\mathcal Z}({\mathcal U})$ such that $f(x)=zx+h(x)$ for all $x\in{\mathcal U}$. It is also shown that there is no nonzero additive $k$-skew-centralizing maps on triangular rings. ",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_776.html"
}
@Article{Nekooei2016,
author="Nekooei, R.
and Mirzaei, F.",
title="On radical formula and Prufer domains",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="555-563",
abstract="In this paper we characterize the radical of an arbitrary submodule $N$ of a finitely generated free module $F$ over a commutatitve ring $R$ with identity. Also we study submodules of $F$ which satisfy the radical formula. Finally we derive necessary and sufficient conditions for $R$ to be a Pr$\ddot{\mbox{u}}$fer domain, in terms of the radical of a cyclic submodule in $R\bigoplus R$.
",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_797.html"
}
@Article{Zarei2016,
author="Zarei, M.
and Kashani, S.M.B.
and Abedi, H.",
title="On cohomogeneity one nonsimply connected 7-manifolds of constant positive curvature",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="565-584",
abstract="In this paper, we give a classification of non simply connected seven dimensional Reimannian manifolds of constant positive curvature which admit irreducible cohomogeneity-one actions. We characterize the acting groups and describe the orbits. The first and second homo-topy groups of the orbits have been presented as well.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_798.html"
}
@Article{Daghigh2016,
author="Daghigh, H.
and Didari, S.",
title="Complete characterization of the Mordell-Weil group of some families of elliptic curves",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="585-594",
abstract=" The Mordell-Weil theorem states that the group of rational points on an elliptic curve over the rational numbers is a finitely generated abelian group. In our previous paper, H. Daghigh, and S. Didari, On the elliptic curves of the form $ y^2=x^3-3px$, Bull. Iranian Math. Soc. 40 (2014), no. 5, 1119--1133., using Selmer groups, we have shown that for a prime $p$ the rank of elliptic curve $y^2=x^3-3px$ is at most two. In this paper we go further, and using height function, we will determine the Mordell-Weil group of a family of elliptic curves of the form $y^2=x^3-3nx$, and give a set of its generators under certain conditions. We will introduce an infinite family of elliptic curves with rank at least two. The full Mordell-Weil group and the generators of a family (which is expected to be infinite under the assumption of a standard conjecture) of elliptic curves with exact rank two will be described.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_799.html"
}
@Article{Liu2016,
author="Liu, X.
and Benitez, J.
and Zhang, M.",
title="Involutiveness of linear combinations of a quadratic or tripotent matrix and an arbitrary matrix",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="595-610",
abstract="In this article, we characterize the involutiveness of the linear combination of the forma1A1 +a2A2 when a1, a2 are nonzero complex numbers, A1 is a quadratic or tripotent matrix,and A2 is arbitrary, under certain properties imposed on A1 and A2.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_800.html"
}
@Article{Jalilian2016,
author="Jalilian, Y.",
title="Infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="611-626",
abstract="In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_801.html"
}
@Article{EbrahimiAtani2016,
author="Ebrahimi Atani, S.
and Khoramdel, M.
and Dolati Pish Hesari, S.",
title="T-dual Rickart modules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="611-642",
abstract="We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that every free (resp. finitely generated free) $R$-module is T-dual Rickart if and only if $overline{Z}^2(R)$ is a direct summand of $R$ and End$(overline{Z}^2(R))$ is a semisimple (resp. regular) ring. It is shown that, while a direct summand of a (strongly) T-dual Rickart module inherits the property, direct sums of T-dual Rickart modules do not. Moreover, when a direct sum of T-dual Rickart modules is T-dual Rickart, is included. Examplesillustrating the results are presented.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_802.html"
}
@Article{Tang2016,
author="Tang, H.
and Liu, C.
and Zhao, Z.",
title="The existence of global attractor for a Cahn-Hilliard/Allen-Cahn equation",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="643-658",
abstract="In this paper, we consider a Cahn-Hillard/Allen-Cahn equation. By using the semigroup and the classical existence theorem of global attractors, we give the existence of the global attractor in H^k(0<=k<5) space of this equation, and it attracts any bounded subset of H^k(omega) in the H^k-norm.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_803.html"
}
@Article{Zhang2016,
author="Zhang, F.
and Qi, X.
and Zhang, J.",
title="Nonlinear $*$-Lie higher derivations on factor von Neumann algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="659-678",
abstract="Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_804.html"
}
@Article{Fander2016,
author="Fander, M. R.",
title="Bounding cochordal cover number of graphs via vertex stretching",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="679-685",
abstract="It is shown that when a special vertex stretching is applied to a graph, the cochordal cover number of the graph increases exactly by one, as it happens to its induced matching number and (Castelnuovo-Mumford) regularity. As a consequence, it is shown that the induced matching number and cochordal cover number of a special vertex stretching of a graph G are equal provided G is well-covered bipartite or weakly chordal graph.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_805.html"
}
@Article{Shokri2016,
author="Shokri, A.
and Saadat, H.",
title="P-stability, TF and VSDPL technique in Obrechkoff methods for the numerical solution of the Schrodinger equation",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="687-706",
abstract="Many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. For the efficient solution of the above mentioned problems, linear multistep methods or Runge-Kutta technique are used. For the simulation of chemical procedures the radial Schrodinger equation is used frequently. In the present paper we will study a symmetric two-step Obrechkoff method, in which we will use of technique of VSDPL (vanished some of derivatives ofphase-lag), for the numerical integration of the one-dimensional Schrodinger equation. We will show superiority of new method in stability, accuracy and efficiency. So we present a stability analysis and an error analysis based on the radial Schrodinger equation. Also we will apply the new proposed method to the resonance problem of the radial Schrodinger equation.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_806.html"
}
@Article{Soleimani-damaneh2016,
author="Soleimani-damaneh, M.
and Movahedi, M.
and Behmardi, D.",
title="On subdifferential in Hadamard spaces",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="707-717",
abstract="In this paper, we deal with the subdierential concept onHadamard spaces. Flat Hadamard spaces are characterized, and nec-essary and sucient conditions are presented to prove that the subdif-ferential set in Hadamard spaces is nonempty. Proximal subdierentialin Hadamard spaces is addressed and some basic properties are high-lighted. Finally, a density theorem for subdierential set is established.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_807.html"
}
@Article{Zhu2016,
author="Zhu, W.
and Ling, S.",
title="Iterative scheme based on boundary point method for common fixed point of strongly nonexpansive sequences",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="719-730",
abstract="Let $C$ be a nonempty closed convex subset of a real Hilbert space $H$. Let ${S_n}$ and ${T_n}$ be sequences of nonexpansive self-mappings of $C$, where one of them is a strongly nonexpansive sequence. K. Aoyama and Y. Kimura introduced the iteration process $x_{n+1}=beta_nx_n+(1-beta_n)S_n(alpha_nu+(1-alpha_n)T_nx_n)$ for finding the common fixed point of ${S_n}$ and ${T_n}$, where $uin C$ is an arbitrarily (but fixed) element in $C$, $x_0in C$arbitrarily, ${alpha_n}$ and ${beta_n}$ are sequences in $[0,1]$. But in the case where $unotin C$, the iterative scheme above becomes invalid because $x_n$ may not belong to $C$. To overcome this weakness, a new iterative scheme based on the thought of boundary point method is proposed and the strong convergence theorem is proved. As a special case, we can find the minimum-norm common fixed point of ${S_n}$ and ${T_n}$ whether $0in C$ or $0notin C$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_808.html"
}
@Article{Ghashghaei2016,
author="Ghashghaei, E.
and Namdari, M.",
title="On strongly dense submodules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="731-747",
abstract="The submodules with the property of the title ( a submodule $N$ of an $R$-module $M$ is called strongly dense in $M$, denoted by $N\leq_{sd}M$, if for any index set $I$, $\prod _{I}N\leq_{d}\prod _{I}M$) are introduced and fully investigated. It is shown that for each submodule $N$ of $M$ there exists the smallest subset $D'\subseteq M$ such that $N+D'$ is a strongly dense submodule of $M$ and $D'\bigcap N=0$. We also introduce a class of modules in which the two concepts of strong essentiality and strong density coincide. It is also shown that for any module $M$, dense submodules in $M$ are strongly dense if and only if $M\leq_{sd} \tilde{E}(M)$, where $\tilde{E}(M)$ is the rational hull of $M$. It is proved that $R$ has no strongly dense left ideal if and only if no nonzero-element of every cyclic $R$-module $M$ has a strongly dense annihilator in $R$. Finally, some appropriate properties and new concepts related to strong density are defined and studied.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_809.html"
}
@Article{Ahmad2016,
author="Ahmad, U.
and Husnine, S. M. ",
title="The power digraphs of safe primes",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="749-759",
abstract="A power digraph, denoted by $G(n,k)$, is a directed graph with $Z_{n}={0,1,..., n-1}$ as the set of vertices and $L={(x,y):x^{k}equiv y~(bmod , n)}$ as the edge set, where $n$ and $k$ are any positive integers. In this paper, the structure of $G(2q+1,k)$, where $q$ is a Sophie Germain prime is investigated. The primality tests for the integers of the form $n=2q+1$ are established in terms of the structure of components of $G(n,k)$. The digraphs in which all components look like directed star graphs are completely classified. This work generalizes the results of M. Krizekek, L. Somer, Sophie Germain Little Suns, Math. Slovaca 54(5) (2004), 433-442.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_810.html"
}
@Article{Sharma2016,
author="Sharma, K.
and Ravichandran, V.",
title="Applications of subordination theory to starlike functions",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="761-777",
abstract="Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ when the functions $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)$ , $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ or $p(z)+beta zp'(z)/p^{2}(z)$ is subordinate to $varphi_{C}(z)$. Related results for $p$ to be in the parabolic region bounded by the $RE w=|w-1|$ are investigated.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_811.html"
}
@Article{Secelean2016,
author="Secelean, N. A.",
title="Weak $F$-contractions and some fixed point results",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="3",
pages="779-798",
abstract="In this paper we define weak $F$-contractions on a metric space into itself by extending $F$-contractions introduced by D. Wardowski (2012) and provide some fixed point results in complete metric spaces and in partially ordered complete generalized metric spaces. Some relationships between weak $F$-contractions and $\Fi$-contractions are highlighted. We also give some applications on fractal theory improving the classical Hutchinson-Barnsley's theory of iterated function systems. Some illustrative examples are provided.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_812.html"
}