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  Latest issue
2009  Vol.33 (Number 3)
June 6, 2009
  Southeast Asian Bulletin of Mathematics
 
 
 
 
Southeast Asian Bulletin of Mathematics
 
 


403
Yuqun Chen and Qiuhui Mo
  Artin-Markov Normal Form for Braid Group
    Abstract. In a recent paper, L.A. Bokut, V.V. Chaynikov and K.P. Shum have estab-
lished a theorem of braid group Bn by applying Artin relations. For such a represen-
tation, it points out that all other compositions can be checked in the same way...
    2009 Vol. 33 (3): 403-419 [Abstract ] ( 41 ) [HTML 0KB] [PDF 161KB ]( 66 )


421
LP Hao and XJ Zhang and Q Yu
  The Influence of X-s-semipermutable Subgroups on
the Structure of Finite Groups
   
Abstract. Let X be a non-empty subset of a group G. A subgroup A of G is said to
be X-s-semipermutable in G if A has a supplement T in G such that for every Sylow
subgroup Tp of T, there exists an element x 2 X such that ATx
p = Tx
p A...
    2009 Vol. 33 (3): 421-432 [Abstract ] ( 38 ) [HTML 0KB] [PDF 197KB ]( 46 )


433
Hailong Hou and Xinman Fan and Yanfeng Luo
  Endomorphism Types of Generalized Polygons
   
Abstract. There are six di®erent classes of endomorphisms for a graph. The set of these
endomorphisms always form a chain under set inclusions. The endomorphism type of
a graph is a number between 0 and 31 indicating which classes coincide...
    2009 Vol. 33 (3): 433-441 [Abstract ] ( 38 ) [HTML 0KB] [PDF 147KB ]( 40 )


443
Yujian Huang and Yangming Li
  On Weakly s-supplemented Subgroups of Finite Groups
    AMS Mathematics Subject Classi¯cation (2000): 20D10, 20D15
Abstract. Let G be a ¯nite group and H a subgroup of G. Then H is said to be
s-permutable in G if HGp = GpH for any Sylow p-subgroup Gp of G; H is said to
be weakly s-supplem...
    2009 Vol. 33 (3): 443-450 [Abstract ] ( 38 ) [HTML 0KB] [PDF 158KB ]( 45 )


451
Jan Kuhr
  Commutative Pseudo BCK-algebras
   
Abstract. Pseudo BCK-algebras generalize well-known BCK-algebras. Roughly spoken,
a pseudo BCK-algebra is an algebra with two binary operations satisfying some simple
axioms which ensure that it is a BCK-algebra whenever these operations coinc...
    2009 Vol. 33 (3): 451-475 [Abstract ] ( 33 ) [HTML 0KB] [PDF 264KB ]( 51 )


477
Haval Mahmood Mahamad and Munir Abdul Kalik Aziz
  A Note on β-Fuzzy Topological Group
   
Abstract. In this paper, we consider fuzzy topological group and β-Fuzzy topological
group. We prove some results about the connection between these two concepts.
....
    2009 Vol. 33 (3): 477-484 [Abstract ] ( 34 ) [HTML 0KB] [PDF 154KB ]( 39 )


485
AR Moghaddamfar and AR Zokayi
  On the Admissibility of Finite Groups
    Abstract. A complete map for a group G is a permutation ’ : G ¡! G such that
g 7¡! g’(g) is a permutation of G. A group G possessing a complete map is said to
be admissible. A conjecture by Hall and Paige states that every group of e...
    2009 Vol. 33 (3): 485-489 [Abstract ] ( 33 ) [HTML 0KB] [PDF 141KB ]( 33 )


491
P Nandakumar
  BI-Regular Near-Rings
    AMS Mathematics Subject Classi¯cation (2000): 16Y30
Abstract. In this paper, we introduce the concept of BI-regular near-rings and obtain
some characterization of BI-regular near-rings. We obtain equivalent conditions for a
near-ring to b...
    2009 Vol. 33 (3): 491-496 [Abstract ] ( 38 ) [HTML 0KB] [PDF 114KB ]( 46 )


497
Nguyen Huu Du Nguyen Van Sanh
  Estimates of Sample Paths of Dynamical Systems De-
scribed by Stochastic Differential Equations
    Abstract. In this article, we are concerned with sample trajectory estimates of solutions
of an Ito stochastic di®erential equation
dXt = a(t;Xt) dt + ¾(t;Xt)dWt
X0 2 Rd;
where (Wt) is a Brownian motion. By virtues of the law o...
    2009 Vol. 33 (3): 497-508 [Abstract ] ( 29 ) [HTML 0KB] [PDF 202KB ]( 30 )


509
Pratima Panigrahi and Debdas Mishra
  Larger Graceful and Interlaced Lobsters Obtained by
Joining Smaller Ones
   
Abstract. We observe that a lobster with diameter at least five has a unique path
H = x1, x2, . . . , xm with the property that, besides the adjacency in H, both x1 and xm
are adjacent to the centers of at least one K1,s, where s > 0, and e...
    2009 Vol. 33 (3): 509–525 [Abstract ] ( 31 ) [HTML 0KB] [PDF 271KB ]( 31 )


527
RM Salem
  Prufer Rings of Generalized Power Series
   
Abstract. We show that if R is an N0¡injective ring and (S;≤) is a submonoid of Q0
containing 1 where ≤is the natural order, then A = [[RS;≤]] is a Bezout ring if and
only if R is a von Neumann regular ring and S is a Prufe...
    2009 Vol. 33 (3): 527-534 [Abstract ] ( 32 ) [HTML 0KB] [PDF 178KB ]( 31 )


535
TN Shanmugam and S Sivasubramanian and S Kavitha
  On Certain Subclasses of Functions of Complex Order
   

Abstract. In the present investigation, we consider an uni¯ed class of functions of
complex order. We obtain a necessary and su±cient condition for functions in these
classes.
Keywords: Starlike; Convex; Subordination....
    2009 Vol. 33 (3): 535-541 [Abstract ] ( 39 ) [HTML 0KB] [PDF 137KB ]( 49 )


543
M Siripitukdet and A Iampan
  On Ordered Ideal Extensions in po-¡-Semigroups
    AMS Mathematics Subject Classi¯cation (2000): 20N99, 06F99, 06B10
Abstract. In this paper, we introduce the concept of the extension ¿ A; I À of an
ordered ideal I by a set A in a po-¡-semigroup M and many properties of &i...
    2009 Vol. 33 (3): 543-550 [Abstract ] ( 28 ) [HTML 0KB] [PDF 129KB ]( 40 )


551
UM Swamy, GC Rao and P Sundarayya and S Kalesha Vali
  Semilattice Structures on a C-Algebra
    Abstract. On a C-algebra, two binary operations ﹡and ⊙ are defined such that < A, ﹡> and < A;⊙> become semilattices. It is observed that the induced orders ≤﹡and ≤⊙on A are not dual to each other. Some important properties of ≤﹡and ...
    2009 Vol. 33 (3): 551-561 [Abstract ] ( 36 ) [HTML 0KB] [PDF 130KB ]( 45 )


563
Qianrong Tan
  Notes on the Non-divisibility of Determinants of Power
GCD and Power LCM Matrices
    Abstract. Let S = {x1,......xn} be a set of n distinct positive integers and a ≥1 an
integer. The matrix having the a-th power (xi; xj)a of the greatest common divisor
of xi and x<...
    2009 Vol. 33 (3): 563-567 [Abstract ] ( 47 ) [HTML 0KB] [PDF 145KB ]( 54 )


569
H Vaezi and SF Rzaev
  Generalization of Peter-Weyl Approximation Theorem
on Lp
   


Abstract. In this article, we consider the generalized translation operator on compact
group G defined by
(Shuf)(g) =∫Gf(tut-1g)dt;

where u; g 2 G, and by the help of this operator we defin...
    2009 Vol. 33 (3): 569-577 [Abstract ] ( 28 ) [HTML 0KB] [PDF 175KB ]( 28 )


579
Kangkang Wang
  Strong Limit Theorems for Stochastic Sequence on Ge-neralized Random Selection Systems
    Abstract. In this paper, we study the strong limit theorems on the a.s. convergence
for the harmonic mean of the random conditional probabilities in the random selec-
tion system. In the proof, we apply the tools of the conditional moment generati...
    2009 Vol. 33 (3): 579-586 [Abstract ] ( 38 ) [HTML 0KB] [PDF 143KB ]( 37 )


587
Chufen Wu and Peixuan Weng
  New Exact Solutions for a Nonlinear Lattice Equation
   
Abstract. Some new exact traveling wave solutions, presented by hyperbolic functions
tanh and sech, for a nonlinear lattice equation are obtained by using the homoge-
neous balance method. Numerical examples are given to illustrate the efficie...
    2009 Vol. 33 (3): 587-596 [Abstract ] ( 29 ) [HTML 0KB] [PDF 642KB ]( 38 )


597
Zhou Yang and Di Geng and Huiwen Yan
  Some Generalizations to the Concentration-Compactness
Principle
    Abstract. An improvement of the Concentration-Compactness Principle is given. This
result can be applied to the p-Laplace-Like equations with critical exponents in a
weighted Sobolev spaces.
...
    2009 Vol. 33 (3): 597-606 [Abstract ] ( 32 ) [HTML 0KB] [PDF 175KB ]( 30 )


607
Yuqin Zhang and Liping Yuan
  Parallelogram Cover for Triangles of Perimeter Two
    Abstract. Since the so-called \worm problem" was presented, many similar covering
problems have been generalized and solved. In [5], JohnWetzel determined the smallest
rectangular cover for the family T of all triangles of perimeter 2. In this pap...
    2009 Vol. 33 (3): 607-612 [Abstract ] ( 29 ) [HTML 0KB] [PDF 141KB ]( 50 )
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