



1
Title: Characterization of the Linear Groups PSL(2, p)
Vol.38(4) (2014) page: 471478
Author(s): A.K. Asboei and S.S.S. Amiri
Abstract: Let G be a finite group and π_{e}(G) be the set of element orders of G . Let k ∈ π_{e}(G) and m_{k} be the number of elements of order k in G. Set nse(G):={ m_{k}  k ∈ π_{e}(G)}. In this paper, it is proved if G is a group with the following properties, then G ≅ PSL(2, p).
1) p is the prime divisor of order G but p^{2} not divide order of G.
2) nse(G)=nse(PSL(2, p)).
Keywords: Element order; Set of the numbers of elements of the same order; Linear group. 
2
Title: A Note on the Factorisation of (m, r)Potent Elements in Tn
Vol.38(4) (2014) page: 479485
Author(s): S. Atl han
Abstract: In [1], for an element α of a finite full transformation semigroup of index m and period r, the authors obtained a unique factorisation α = θγ such that Shift(θ)∩Shift(γ)=∅, where θ is a permutation of order r and γ is an mpotent element. The main aim of this article is to examine whether the condition Shift(θ)∩Shift(γ)=∅ in [1, Theorem 4] can be removed or not in the case n=m+r.
Keywords: Tn; mpotent; Fix; Shift; Def. 
3
Title: Some Results on Convexity of Integral Operators
Vol.38(4) (2014) page: 487491
Author(s): D. Bansal and B.A. Frasin
Abstract: In the present paper, we obtain some closed properties for integral operator I_{δi}^{γi} for functions belonging to class of convex functions and also for a class of αconvex functions of order β. Several corollaries and consequences of the main results are also considered.
Keywords: Analytic and univalent functions; Starlike and convex functions; Integral operators. 
4
Title: Annihilating Conditions and Central Values of Generalized Derivations on Lie Ideals
Vol.38(4) (2014) page: 493500
Author(s): V. De Filippis and B. Dhara
Abstract: Let R be a prime ring, U the Utumi quotient ring of R, C the extended centroid of R (C=Z(U)), L a noncommutative Lie ideal of R, H a nonzero generalized derivation of R and s( ≥ 0), t( ≥ 0) fixed integers. Suppose that there exists 0 ≠ a ∈ R such that au^{s}H(u)u^{t} ∈ C for all u ∈ L, then one of the following holds:
(1) s=0, there exists p ∈ U such that H(x)=px for all x ∈ R with ap=0;
(2) R satisfies s_{4}.
Keywords: Prime rings; Differential identities; Generalized derivations. 
5
Title: Inclusion Properties Regarding the Meromorphic Structure of SrivastavaAttiya Operator
Vol.38(4) (2014) page: 501512
Author(s): R.M. ElAshwah
Abstract: Let ∑ denote the class of analytic functions in the punctured unit disc U^{∗}={ z ∈ \mathbbC:0 <  z < 1} . In this paper, we introduce several new subclasses of meromorphic functions defined by means of the linear operator F _{d}^{s}(a,c;z)(s ∈ \mathbbC;a ∈ \mathbbC^{∗};c,d ∈ \mathbbC\\mathbbZ_{0}^{−}). Inclusion properties of these classes and some applications involving integral operator are also considered.
Keywords: Meromorphic functions; HurwitzLerech Zeta function; Convolution. 
6
Title: The Generalization of the Formula V(G)=E(G)+1 for Simplicial Trees
Vol.38(4) (2014) page: 513525
Author(s): F. KhoshAhang, Z. Barati and N. Hoseini
Abstract: In this note, firstly we introduce roses and double simplicial roses as a special class of simplicial complexes, which have close relation with simplicial trees. Then, we used them to generalize the wellknown equation V(G)=E(G)+1 (for a tree graph G) to simplicial trees.
Keywords: Connection; Rose; Simplicial complex; Tree. 
7
Title: Weakly Armendariz Rings Relative to Skew Polynomial Rings
Vol.38(4) (2014) page: 527533
Author(s): L. Liang and C.H. Yang
Abstract: For a ring endomorphism α, we introduce the notion of αskew weakly Armendariz rings that extends the notions of αskew Armendariz rings and weakly Armendariz rings. Some properties and extensions of αskew weakly Armendariz rings are studied. As consequences, several known results are extended to more general classes of rings.
Keywords: Semicommutative rings; Armendariz rings; ??skew Armendariz rings; ??skew weakly Armendariz rings. 
8
Title: The Endotype of (n−3)Regular Graphs of Order n
Vol.38(4) (2014) page: 535541
Author(s): N. Pipattanajinda
Abstract: Let G be a graph, the endotype of G is between 0 and 31. In this paper, we will show that the endotype of an (n−3)regular graph of order n is division by 4.
Keywords: Endomorphism type; (n−3)regular graph of order n; Join. 
9
Title: Near Relatives of Homogeneous Maps
Vol.38(4) (2014) page: 543554
Author(s): I. Ramabhadra Sarma, J. Madhusudana Rao, T.V.N. Prasanna and A.V. Ramakrishna
Abstract: We extend the notion of semilinearity introduced by K.D. Magill, Jr. on \mathbbR^{n} to a real linear space X and present some properties of these functions. We also study some properties of the near algebra X_{λ} where X is a linear space on which the multiplication is induced by a semilinear map λ:X→ \mathbbR.
Keywords: Homogeneous and positively homogeneous functions; Semilinear map; Semilinear transformation; Near algebras. 
10
Title: Topological Characterization of Dually BNormal Almost Distributive Lattices
Vol.38(4) (2014) page: 555562
Author(s): G.C. Rao, N. Rafi and R.K. Bandaru
Abstract: We introduce the concept of dually B−normal ADL, where B is the Birkhoff centre of the ADL and derived that an ADL R in which every dual dense element is a zero element is dually B−normal if and only if the space MaxR of all maximal ideals of an ADL R with the hullkernel topology is a Boolean space.
Keywords: Almost distributive lattice (ADL); Birkhoff centre; Prime ideal; Maximal ideal; Dual dense element; Dually B−normal ADL; Boolean space. 
11
Title: Generalized Derivations Acting as Lie Homomorphisms on Polynomials in Prime Rings
Vol.38(4) (2014) page: 563572
Author(s): G. Scudo
Abstract: Let R be a noncommutative prime ring of characteristic different from 2, with center Z(R) and extrended centroid C and let F be a nonzero generalized derivation of R. Denote by f(R)={f(r_{1},…,r_{n}): r_{1},…,r_{n} ∈ R}, the set of all the evaluations of a noncentral polynomial f(x_{1},…,x_{n}) over C. If F acts as a Lie homomorphism on f(R) then F is the identity map.
Keywords: Prime rings; Differential identities; Generalized derivations. 
12
Title: Some Limit Theorems for Arbitrary Random Fields With Respect to Geometric Distributions Indexed by a Homogeneous Tree
Vol.38(4) (2014) page: 573587
Author(s): K.K. Wang and D.C. Zong
Abstract: In this paper, we establish a class of strong limit theorem for the arbitrary random field with respect to the product geometric distributions indexed by the homogeneous tree by constructing the consistent distribution functions and a nonnegative martingale with pure analytical methods. As corollaries, some limit properties for the entropy density and the random field which obeys geometric distributions indexed by the homogeneous tree are studied.
Keywords: The homogeneous tree; Random field; The geometric distribution; Nonnegative martingale; Strong limit theorem. 
13
Title: Some Normal Criteria of Meromorphic Functions Concerning Shared Analytic Function
Vol.38(4) (2014) page: 589602
Author(s): Q. Wang, W. Chen and H.G. Tian
Abstract: In this paper, we study the normality of meromorphic functions shared an analytic function. We obtain: Let k be a positive integer and m be an even number. Suppose that ψ(z)\noindentt ≡ 0 is a holomorphic function with zeros of multiplicity m. Let F be a family of meromorphic functions in a domain D. If for each f ∈ F, all zeros of f have multiplicity at least k+m+1 and all of poles of f are of multipicity at least m+1. If ff^{(k)} and gg^{(k)} share ψ(z) in D for every pair of functions f, g ∈ F, then F is normal in D. This improves and generalizes the related previous results ([29 ,14]).
Keywords: Meromorphic function; Shared value; Normal criterion. 
14
Title: Hermite Matrix based Polynomials of two Variables and Lie Algebraic Techniques
Vol.38(4) (2014) page: 603618
Author(s): G. Yasmin and S. Khan
Abstract: In this paper, the generalized 2variable Hermite generalized Hermite matrix polynomials (G2VHGHMP) denoted by _{H}H_{n,m}^{λ}(x,y;A) are introduced by means of generating function and series definition. In order to use the representation theory of the harmonic oscillator Lie algebra G(0,1), we consider the particular case of G2VHGHMP _{H}H_{n,m}^{λ}(x,y;A) by taking m=2. Further, denoting the resultant 2variable Hermite generalized Hermite matrix polynomials (2VHGHMP) by _{H}H_{n}^{λ}(x,y;A) and framing them within the context of representation ↑_{0,1} of G(0,1), certain results are derived. The generating relations for some related matrix polynomials are also obtained as applications.
Keywords: Generalized 2variable Hermite generalized Hermite matrix polynomials; 2variable Hermite generalized Hermite matrix polynomials; Lie group; Lie algebra; Representation theory; Generating relations. 
14 Records!





