ORIGINAL_ARTICLE
The finite $S$-determinacy of singularities in positive characteristic $S=R_G,R_A, K_G,K_A$
For singularities $fin K[[x_{1},ldots,x_{n}]]$ over an algebraically closed field $K$ of arbitrary characteristic, we introduce the finite $\mathcal{S}-$determinacy under $\mathcal{S}-$equivalence, where $\mathcal{S}=\mathcal{R}_{\mathcal{G}},~\mathcal{R}_{\mathcal{A}}, ~\mathcal{K}_{\mathcal{G}},~\mathcal{K}_{\mathcal{A}}$. It is proved that the finite $\mathcal{R}_{\mathcal{G}}(\mathcal{K}_{\mathcal{G}})-$determinacy is equivalent to the finiteness of the relative $\mathcal{G}-$Milnor ($\mathcal{G}-$Tjurina) number and the finite $\mathcal{R}_{\mathcal{A}}(\mathcal{K}_{\mathcal{A}})-$determinacy is equivalent to the finiteness of the relative $\mathcal{A}-$Milnor ($\mathcal{A}-$Tjurina) number. Moreover, some estimates are provided on the degree of the $\mathcal{S}-$determinacy in positive characteristic.
http://bims.iranjournals.ir/article_569_70f1e9f320d0a1472bd40687d8e6305f.pdf
2014-12-01
1347
1372
Finite $mathcal{R}_{mathcal{G}}~(mathcal{R}_{mathcal{A}})-$determinacy
finite $mathcal{K}_{mathcal{G}}~(mathcal{K}_{mathcal{A}})-$ determinacy
the relative $mathcal{G}(mathcal{A})-$Milnor number
relative $mathcal{G}(mathcal{A})-$ Tjurina number
L.
Hengxing
hxliu.math@whu.edu.cn
1
School of Mathematics and Statistics,Wuhan University, Wuhan, assistance professor
AUTHOR
L.
Jingwen
jwluan @whu.edu.cn
2
School of Mathematics and Statistics, Wuhan University, P.O. Box 430072, Wuhan, People's Republic of China
LEAD_AUTHOR
ORIGINAL_ARTICLE
Translation invariant surfaces in the 3-dimensional Heisenberg group
In this paper, we study translation invariant surfaces in the 3-dimensional Heisenberg group $rm Nil_3$. In particular, we completely classify translation invariant surfaces in $rm Nil_3$ whose position vector $x$ satisfies the equation $Delta x = Ax$, where $Delta$ is the Laplacian operator of the surface and $A$ is a $3 times 3$-real matrix.
http://bims.iranjournals.ir/article_570_2d5e9aaa628503656c1fca0f40716d28.pdf
2014-12-01
1373
1385
Heisenberg group
finite type surface
invariant
surface
D. W.
Yoon
dwyoon@gnu.ac.kr
1
Gyeongsang National University
AUTHOR
J. W.
Lee
leejaew@missouri.edu
2
University of Missouri-Columbia
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the possible volume of $\mu$-$(v,k,t)$ trades
A $\mu$-way $(v,k,t)$ $trade$ of volume $m$ consists of $\mu$ disjoint collections $T_1$, $T_2, \dots T_{\mu}$, each of $m$ blocks, such that for every $t$-subset of $v$-set $V$ the number of blocks containing this t-subset is the same in each $T_i (1\leq i \leq \mu)$. In other words any pair of collections $\{T_i,T_j\}$, $1\leq i< j \leq \mu$ is a $(v,k,t)$ trade of volume $m$. In this paper we investigate the existence of $\mu$-way $(v,k,t)$ trades and prove the existence of: (i)~3-way $(v,k,1)$ trades (Steiner trades) of each volume $m,m\geq2$. (ii) 3-way $(v,k,2)$ trades of each volume $m,m\geq6$ except possibly $m=7$. We establish the non-existence of 3-way $(v,3,2)$ trade of volume 7. It is shown that the volume of a 3-way $(v,k,2)$ Steiner trade is at least $2k$ for $k\geq4$. Also the spectrum of 3-way $(v,k,2)$ Steiner trades for $k=3$ and 4 are specified.
http://bims.iranjournals.ir/article_571_a228d214fe2139e3f118bdf489628d23.pdf
2014-12-01
1387
1401
$mu$-way $(v
k
t)$ trade
3-way $(v
2)$ trade
one-solely
S.
Rashidi
saeederashidi@gmail.com
1
Alzahra Uni
AUTHOR
N.
Soltankhah
soltan@alzahra.ac.ir
2
Alzahra Uni.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Fekete-Szegö coefficient functional for transforms of universally prestarlike functions
Universally prestarlike functions of order $alphaleq 1$ in the slit domain $Lambda=mathbb{C}setminus [1,infty)$ have been recently introduced by S. Ruscheweyh.This notion generalizes the corresponding one for functions in the unit disk $Delta$ (and other circular domains in $mathbb{C}$). In this paper, we obtain the Fekete-Szegö coefficient functional for transforms of such functions.
http://bims.iranjournals.ir/article_572_ff424dbe0b30d42017cb0a6e1a47f648.pdf
2014-12-01
1403
1411
restarlike functions
universally
prestarlike functions
Fekete-Szeg"{o}
finctional
T. N.
Shanmugam
shan@annauniv.edu
1
Anna University, Chennai.
AUTHOR
J. Lourthu
Mary
lourthu_mary@yahoo.com
2
Anna University
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the planarity of a graph related to the join of subgroups of a finite group
Let $G$ be a finite group which is not a cyclic $p$-group, $p$ a prime number. We define an undirected simple graph $Delta(G)$ whose vertices are the proper subgroups of $G$, which are not contained in the Frattini subgroup of $G$ and two vertices $H$ and $K$ are joined by an edge if and only if $G=langle H , Krangle$. In this paper we classify finite groups with planar graph. %For this, by Kuratowski's Theorem, we have to study subdivisions %of the Kuratowski graphs $K_{3 , 3}$ and $K_5$ in the graph $Delta(G)$. Our result shows that only few groups have planar graphs.
http://bims.iranjournals.ir/article_573_026d933a1762fba8b0e0f563507e5038.pdf
2014-12-01
1413
1431
Graph on group
plannar graph
finite group
B.
Taeri
b.taeri@cc.iut.ac.ir
1
Isfahan University of Technology
LEAD_AUTHOR
H.
Ahmadi
hadiahmadi@math.iut.ac.ir
2
Isfahan University of Technology
AUTHOR
ORIGINAL_ARTICLE
Some properties of a general integral operator
In this paper, we consider a general integral operator $G_n(z).$ The main object of the present paper is to study some properties of this integral operator on the classes $\mathcal{S}^{*}(\alpha),$ $\mathcal{K}(\alpha),$ $\mathcal{M}(\beta),$ $\mathcal{N}(\beta)$ and $\mathcal{KD}(\mu,\beta).$
http://bims.iranjournals.ir/article_574_8800a771df387746d78b58972f7a2a33.pdf
2014-12-01
1433
1439
Analytic functions
integral operator
starlike functions
convex functions
L
Stanciu
laura_stanciu_30@yahoo.com
1
University of Pitesti
LEAD_AUTHOR
D.
Breaz
dbreaz@uab.ro
2
"1 Decembrie 1918" University of Alba Iulia
AUTHOR
ORIGINAL_ARTICLE
On special submodule of modules
Let $R$ be a domain with quotiont field $K$, and let $N$ be a submodule of an $R$-module $M$. We say that $N$ is powerful (strongly primary) if $x,yin K$ and $xyMsubseteq N$, then $xin R$ or $yin R$ ($xMsubseteq N$ or $y^nMsubseteq N$ for some $ngeq1$). We show that a submodule with either of these properties is comparable to every prime submodule of $M$, also we show that an $R$-module $M$ admits a powerful submodule if and only if it admits a strongly primary submodule. Finally we study finitely generated torsion free modules over domain each of whose prime submodules are strongly primary.
http://bims.iranjournals.ir/article_575_4ce533cb54b8165a410f211ae94a09e4.pdf
2014-12-01
1441
1451
Prime submodule
strongly prime submodule
primary submodule
power submodule
A
Khaksari
a_khaksari@pnu.ac.ir
1
iranian
AUTHOR
S.
Mehri
sh.mehri@gmail.com
2
Buali sina University
AUTHOR
R.
Safakish
safakish@basu.ac.ir
3
iranian
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the character space of vector-valued Lipschitz algebras
We show that the character space of the vector-valued Lipschitz algebra $Lip^{alpha}(X, E)$ of order $alpha$ is homeomorphic to the cartesian product $Xtimes M_E$ in the product topology, where $X$ is a compact metric space and $E$ is a unital commutative Banach algebra. We also characterize the form of each character on $Lip^{alpha}(X, E)$. By appealing to the injective tensor product, we then identify the character space of the vector-valued polynomial Lipschitz algebra $Lip_P^{alpha}(X, E)$, generated by the polynomials on the compact space $Xsubseteq Bbb{C}^{n}$. It is also shown that $Lip_P^{alpha}(X, E)$ is the injective tensor product $Lip_P^{alpha}(X)widehat{otimes}_epsilon E$. Finally, we characterize the form of each character on $Lip_{P}^{alpha}(X, E)$.
http://bims.iranjournals.ir/article_576_f9f5524bf4345a77d76c6c1453d51115.pdf
2014-12-01
1453
1468
Vector-valued Lipschitz algebras
character space
injective tensor product
polynomial approximation
T.
Honary
honary@khu.ac.ir
1
Kharazmi University
LEAD_AUTHOR
A.
Nikou
std_nikou@khu.ac.ir
2
Kharazmi University
AUTHOR
A. H.
Sanatpour
a_sanatpour@khu.ac.ir
3
Kharazmi University
AUTHOR
ORIGINAL_ARTICLE
Generalized multivalued $F$-contractions on complete metric spaces
In the present paper, we introduce the concept of generalized multivalued $F$ -contraction mappings and give a fixed point result, which is a proper generalization of some multivalued fixed point theorems including Nadler's.
http://bims.iranjournals.ir/article_577_eb149301c126a1c617e997eaa742c7a6.pdf
2014-12-01
1469
1478
fixed point
Multivalued map
generalized F-contraction
Ö.
Acar
acarozlem@ymail.com
1
Kirikkale University
LEAD_AUTHOR
G.
Durmaz
gncmatematik@hotmail.com
2
Kirikkale University
AUTHOR
G
Minak
g.minak.28@gmail.com
3
Kirikkale University
AUTHOR
ORIGINAL_ARTICLE
Domination number of graph fractional powers
For any $k \in \mathbb{N}$, the $k$-subdivision of graph $G$ is a simple graph $G^{\frac{1}{k}}$, which is constructed by replacing each edge of $G$ with a path of length $k$. In [Moharram N. Iradmusa, On colorings of graph fractional powers, Discrete Math., (310) 2010, No. 10-11, 1551-1556] the $m$th power of the $n$-subdivision of $G$ has been introduced as a fractional power of $G$, denoted by $G^{\frac{m}{n}}$. In this regard, we investigate domination number and independent domination number of fractional powers of graphs.
http://bims.iranjournals.ir/article_578_75c4cbe02b1125c194ec33ac260ea658.pdf
2014-12-01
1479
1489
Domination number
Subdivision of a graph
Power of a graph
M. N.
Iradmusa
m_iradmusa@sbu.ac.ir
1
Shahid Beheshti University
LEAD_AUTHOR
ORIGINAL_ARTICLE
The locating chromatic number of the join of graphs
Let $f$ be a proper $k$-coloring of a connected graph $G$ and $Pi=(V_1,V_2,ldots,V_k)$ be an ordered partition of $V(G)$ into the resulting color classes. For a vertex $v$ of $G$, the color code of $v$ with respect to $Pi$ is defined to be the ordered $k$-tuple $c_{{}_Pi}(v)=(d(v,V_1),d(v,V_2),ldots,d(v,V_k))$, where $d(v,V_i)=min{d(v,x):~xin V_i}, 1leq ileq k$. If distinct vertices have distinct color codes, then $f$ is called a locating coloring. The minimum number of colors needed in a locating coloring of $G$ is the locating chromatic number of $G$, denoted by $Cchi_{{}_L}(G)$. In this paper, we study the locating chromatic number of the join of graphs. We show that when $G_1$ and $G_2$ are two connected graphs with diameter at most two, then $Cchi_{{}_L}(G_1vee G_2)=Cchi_{{}_L}(G_1)+Cchi_{{}_L}(G_2)$, where $G_1vee G_2$ is the join of $G_1$ and $G_2$. Also, we determine the locating chromatic number of the join of paths, cycles and complete multipartite graphs.
http://bims.iranjournals.ir/article_580_08d06f76db2f31d9d9da80fbbb8f887f.pdf
2014-12-01
1491
1504
Locating coloring
locating chromatic number
fan
wheel
join
A.
Behtoei
alibehtoei@math.iut.ac.ir
1
Isfahan university of techmology
LEAD_AUTHOR
ORIGINAL_ARTICLE
A generalization of Villarreal's result for unmixed tripartite graphs
In this paper we give a characterization of unmixed tripartite graphs under certain conditions which is a generalization of a result of Villarreal on bipartite graphs. For bipartite graphs two different characterizations were given by Ravindra and Villarreal. We show that these two characterizations imply each other.
http://bims.iranjournals.ir/article_581_aeadceab31733934bd4246afae35af37.pdf
2014-12-01
1505
1514
Well-covered graph
unmixed graph
perfect matching
H.
Haghighi
haghighi@kntu.ac.ir
1
K. N. Toosi University of Technology
LEAD_AUTHOR
ORIGINAL_ARTICLE
A note on the remainders of rectifiable spaces
In this paper, we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces, and how the character of the remainders affects the character
and the size of a rectifiable space. Some results in [A. V. Arhangel'skii and J. Van Mill, On topological groups with a first-countable remainder, Topology Proc. 42 (2013) 157--163.] and [F. C. Lin, C. Liu, S. Lin, A note on rectifiable spaces, Topology Appl. 159 (2012), no. 8, 2090--2101.] are improved, respectively.
http://bims.iranjournals.ir/article_582_fc25324569a17b2dc2d7c459dfd6fd49.pdf
2014-12-01
1515
1526
Rectifiable space
symmetrizable space
character
J.
Zhang
zhangjing86@126.com
1
Nanjing Normal University
LEAD_AUTHOR
Wei
He
weihe@njnu.edu.cn
2
Nanjing Normal University
AUTHOR
L.
Xie
yunli198282@126.com
3
Wuyi University
AUTHOR
ORIGINAL_ARTICLE
Arens regularity of inverse semigroup algebras
We present a characterization of Arens regular semigroup algebras
$\ell^1(S)$, for a large class of semigroups. Mainly, we show that
if the set of idempotents of an inverse semigroup $S$ is finite,
then $\ell^1(S)$ is Arens regular if and only if $S$ is finite.
http://bims.iranjournals.ir/article_583_ce605ef8523902e55f9e1f2d1945c558.pdf
2014-12-01
1527
1538
Arens regularity
completely simple semigroup
inverse
semigroup
left (right) group
weakly
F.
Abtahi
abtahi.fatemeh@yahoo.com
1
University of Isfahan
LEAD_AUTHOR
B.
Khodsiani
b_khodsiani@sci.ui.ac.ir
2
University of Isfahan
AUTHOR
A.
Rejali
rejali@sci.ui.ac.ir
3
University of Isfahan
AUTHOR
ORIGINAL_ARTICLE
On a linear combination of classes of harmonic $p-$valent functions defined by certain modified operator
In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of harmonic $p-$valent functions defined by certain modified operator. Some of our results improve and generalize previously known results.
http://bims.iranjournals.ir/article_584_80f49ae4626a72fd21eb056231c7bca7.pdf
2014-12-01
1539
1551
Analytic functions
harmonic functions
extreme points
distortion bounds
T.
Seoudy
tms00@fayoum.edu.eg
1
Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Dilations, models, scattering and spectral problems of 1D discrete Hamiltonian systems
In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a selfadjoint dilation of the dissipative operator and construct the incoming and outgoing spectral representations that makes it possible to determine the scattering function (matrix) of the dilation. Further a functional model of the dissipative operator and its characteristic function in terms of the Weyl function of a selfadjoint operator are constructed. Finally we show that the system of root vectors of the dissipative operators are complete in the Hilbert space ℓ_{Ω}²(Z;C²).
http://bims.iranjournals.ir/article_585_77af4265ca75fc6b62d5faa12246c9ae.pdf
2014-12-01
1553
1571
Discrete Hamiltonian system
dissipative operator
selfadjoint dilation
characteristic function
completeness
B. P.
Allahverdiev
bilenderpasaoglu@sdu.edu.tr
1
Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey
LEAD_AUTHOR
ORIGINAL_ARTICLE
Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups
Let $G$ be a finite group. A subset $X$ of $G$ is a set of pairwise non-commuting elements if any two distinct elements of $X$ do not commute. In this paper we determine the maximum size of these subsets in any finite non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup.
http://bims.iranjournals.ir/article_586_eb37771cbcb78fcf88705e63931f44eb.pdf
2014-12-01
1573
1585
Metacyclic $p$-group
powerful 2-group
covering
pairwise
non-commuting elements
S.
Fouladi
shirin.fouladi@gmail.com
1
Academic Staff
LEAD_AUTHOR