Current Issue

1
 Title: Characterization of the Linear Groups PSL(2, p) Vol.38(4) (2014) page: 471-478 Author(s): A.K. Asboei and S.S.S. Amiri   Abstract: Let G be a finite group and πe(G) be the set of element orders of G . Let k ∈ πe(G) and mk be the number of elements of order k in G. Set nse(G):={ mk | k ∈ πe(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 p2 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: 479-485 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 m-potent 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; m-potent; Fix; Shift; Def.
3
 Title: Some Results on Convexity of Integral Operators Vol.38(4) (2014) page: 487-491 Author(s): D. Bansal and B.A. Frasin   Abstract: In the present paper, we obtain some closed properties for integral operator Iδiγi for functions belonging to class of convex functions and also for a class of α-convex 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: 493-500 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 ausH(u)ut ∈ 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 s4. Keywords: Prime rings; Differential identities; Generalized derivations.
5
 Title: Inclusion Properties Regarding the Meromorphic Structure of Srivastava-Attiya Operator Vol.38(4) (2014) page: 501-512 Author(s): R.M. El-Ashwah   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 ds(a,c;z)(s ∈ \mathbbC;a ∈ \mathbbC∗;c,d ∈ \mathbbC\\mathbbZ0−).  Inclusion properties of these classes and some applications involving integral operator are also considered.  Keywords: Meromorphic functions; Hurwitz-Lerech Zeta function; Convolution.
6
 Title: The Generalization of the Formula V(G)=E(G)+1 for Simplicial Trees Vol.38(4) (2014) page: 513-525 Author(s): F. Khosh-Ahang, 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 well-known 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: 527-533 Author(s): L. Liang and C.H. Yang   Abstract: For a ring endomorphism α, we introduce the notion of α-skew weakly Armendariz rings that extends the notions of α-skew Armendariz rings and weakly Armendariz rings. Some properties and extensions of α-skew 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: 535-541 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: 543-554 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 \mathbbRn to a real linear space X and present some properties of these functions. We also study some properties of the near algebra Xλ 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 B-Normal Almost Distributive Lattices Vol.38(4) (2014) page: 555-562 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 hull-kernel 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: 563-572 Author(s): G. Scudo   Abstract: Let R be a non-commutative prime ring of characteristic different from 2, with center Z(R) and extrended centroid C and let F be a non-zero generalized derivation of R. Denote by f(R)={f(r1,…,rn): r1,…,rn ∈ R}, the set of all the evaluations of a non-central polynomial f(x1,…,xn) 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: 573-587 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.